@InEjournal{winicour98:_charc_evol_match,
     author        = {Winicour, J.},
     title         = {Characteristic evolution and matching},
     journal       = {Living Rev.\ Relativity},
     onlineyear    = {2001},
     fileformat    = {Online Journal Article},
     onlineaddress = {http://www.livingreviews.org/lrr-2001-3},
     cited         = {23 July 2003},
     keywords      = {asymptotics, isolated systems, gravitational radiation, numerical methods, initial value problem, null surfaces},
     onlinemonth   = {March},
     volume        = {4},
     articleid     = {lrr-2001-3},
     ReferencedIn  = {lrr-2004-1}
}

@Online{kroon2002:_obstr_smooth,
     author        = {Valiente Kroon, J.A.},
     onlinetitle   = {A new class of obstructions to the smoothness of null infinity},
     onlineyear    = {2002},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0211024},
     cited         = {9 July 2003},
     onlinemonth   = {November},
     ReferencedIn  = {lrr-2004-1}
}

@Online{husa2003:_talk_santa_barbara,
     author        = {Husa, S.},
     onlinetitle   = {Into thin air; climbing up a smooth route to null-infinity},
     onlineyear    = {2003},
     fileformat    = {Online HTML Page},
     onlineaddress = {http://online.kitp.ucsb.edu/online/gravity03/husa/},
     cited         = {11 July 2003},
     onlinemonth   = {July},
     note          = {Talk given at KITP Santa Barbara},
     ReferencedIn  = {lrr-2004-1}
}

@Online{friedrich2003:_radiat_static,
     author        = {Friedrich, H.},
     onlinetitle   = {Radiative gravitational fields and asymptotically static or stationary initial data},
     onlineyear    = {2003},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0304003},
     cited         = {9 July 2003},
     onlinemonth   = {April},
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}

@InProceedings{husa2002:_probl_succes_numer,
     author        = {Husa, S.},
     title         = {Problems and Successes in the Numerical Approach to the Conformal Field Equations},
     booktitle     = {The conformal structure of space-times: Geometry, Analysis, Numerics},
     year          = {2002},
     editor        = {Frauendiener, J. and Friedrich, H.},
     pages         = {239--259},
     publisher     = {Springer-Verlag},
     address       = {Heidelberg, Germany},
     volume        = {604},
     series        = {Lecture Notes in Physics},
     onlinetitle   = {Problems and Successes in the Numerical Approach to the Conformal Field Equations},
     onlinemonth   = {April},
     onlineyear    = {2002},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0204043},
     cited         = {11 July 2003},
     ReferencedIn  = {lrr-2004-1}
}

@InProceedings{husa2002:_numer,
     author        = {Husa, S.},
     title         = {Numerical relativity with the conformal field equations},
     booktitle     = {Proceedings of the Spanish Relativity meeting, Madrid, 2001},
     year          = {2002},
     editor        = {Fernandez, L. and Gonzalez, L.},
     publisher     = {Springer-Verlag},
     address       = {Heidelberg, Germany},
     note          = {To appear},
     series        = {Lecture Notes in Physics},
     onlinetitle   = {Numerical relativity with the conformal field equations},
     onlinemonth   = {April},
     onlineyear    = {2002},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0204057},
     cited         = {11 July 2003},
     ReferencedIn  = {lrr-2004-1}
}

@Article{friedrich2003:_confor_geodes,
     author        = {Friedrich, H.},
     title         = {Conformal geodesics on vacuum space-times},
     journal       = {Commun.\ Math.\ Phys.},
     volume        = {235},
     pages         = {513--543},
     year          = {2003},
     onlinetitle   = {Conformal geodesics on vacuum space-times},
     onlinemonth   = {January},
     onlineyear    = {2002},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0201006},
     cited         = {9 July 2003},
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}

@InProceedings{friedrich2002:_confor_einst,
     author        = {Friedrich, H.},
     title         = {Conformal Einstein evolution},
     booktitle     = {The conformal structure of space-times: Geometry, Analysis, Numerics},
     year          = {2002},
     editor        = {Frauendiener, J. and Friedrich, H.},
     pages         = {1--50},
     publisher     = {Springer-Verlag},
     address       = {Heidelberg, Germany},
     volume        = {604},
     series        = {Lecture Notes in Physics},
     onlinetitle   = {Conformal Einstein evolution},
     onlinemonth   = {September},
     onlineyear    = {2002},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0209018},
     cited         = {9 July 2003},
     ReferencedIn  = {lrr-2004-1}
}

@Article{frauendienerhein2002:_numer_gener_relat,
     author        = {Frauendiener, J. and Hein, M.},
     title         = {Numerical simulation of axisymmetric isolated systems in General Relativity},
     journal       = {Phys.\ Rev.~D},
     volume        = {66},
     pages         = {124004},
     year          = {2002},
     onlinetitle   = {Numerical simulation of axisymmetric isolated systems in General Relativity},
     onlinemonth   = {June},
     onlineyear    = {2002},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0207094},
     cited         = {22 July 2003},
     ReferencedIn  = {lrr-2004-1}
}

@LR_Url{cactus_homepage,
     key           = {Max Planck Institute for Gravitational Physics},
     organization  = {Max Planck Institute for Gravitational Physics},
     onlinetitle   = {The Cactus Homepage},
     onlineyear    = {2003},
     fileformat    = {Online HTML document},
     onlineaddress = {http://www.cactus.org/},
     cited         = {11 July 2003},
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}

@InBook{frauendiener2002:_some,
     author        = {Frauendiener, J.},
     editor        = {Frauendiener, J. and Friedrich, H.},
     title         = {Some aspects of the numerical treatment of the conformal field equations},
     booktitle     = {The conformal structure of space-times: Geometry, Analysis, Numerics},
     publisher     = {Springer-Verlag},
     address       = {Heidelberg, Germany},
     pages         = {261--282},
     year          = {2002},
     series        = {Lecture Notes in Physics},
     volume        = {604},
     ReferencedIn  = {lrr-2004-1}
}

@Article{frauendiener2002:_numer_analy_cartoon,
     author        = {Frauendiener, J.},
     title         = {On discretizations of axisymmetric systems},
     journal       = {Phys.\ Rev.~D},
     volume        = {66},
     pages         = {104027},
     year          = {2002},
     onlinetitle   = {On discretizations of axisymmetric systems},
     onlinemonth   = {June},
     onlineyear    = {2003},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0207092},
     cited         = {22 July 2003},
     ReferencedIn  = {lrr-2004-1}
}

@Online{corvinoschoen2003:_asymp_constr,
     author        = {Corvino, J. and Schoen, R.},
     onlinetitle   = {On the asymptotics for the {Einstein} constraint equations},
     onlineyear    = {2003},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0301071},
     cited         = {9 July 2003},
     onlinemonth   = {January},
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@Article{courantfriedrichs28:_ueber_differ_physik,
     author        = {Courant, R. and Friedrichs, K.O. and Lewy,H.},
     title         = {{\"U}ber die partiellen Differenzengleichungen der mathematischen Physik},
     journal       = {Math.\ Ann.},
     volume        = {100},
     pages         = {32--74},
     year          = {1928},
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@Article{corvino2000:_scalar_einst,
     author        = {Corvino, J.},
     title         = {Scalar curvature deformation and a gluing construction for the Einstein constraint equations},
     journal       = {Commun.\ Math.\ Phys.},
     volume        = {214},
     pages         = {137--189},
     year          = {2000},
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@Article{chruscieldelay2002:_exist_vac_asympt_simpl,
     author        = {Chru{\'s}ciel, P.T. and Delay, E.},
     title         = {Existence of non-trivial, vacuum, asymptotically simple space-times},
     journal       = {Class.\ Quantum Grav.},
     volume        = {19},
     pages         = {L71--L79},
     year          = {2002},
     onlinetitle   = {Existence of non-trivial, vacuum, asymptotically simple space-times},
     onlinemonth   = {March},
     onlineyear    = {2002},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/0203053},
     cited         = {18 March 2003},
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}

@Article{chruscieldelay2002:_exist_vac_asympt_simpl_erratum,
     author        = {Chru{\'s}ciel, P.T. and Delay, E.},
     title         = {Existence of non-trivial, vacuum, asymptotically simple spacetimes},
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     volume        = {19},
     pages         = {3389},
     year          = {2002},
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}

@Article{bicak83:_einst,
     author        = {Bi{\v c}{\'a}k, J. and Hoenselaers, C. and Schmidt, B.G.},
     title         = {The solutions of the Einstein equations for uniformly accelerated particles without nodal symmetries. II. Self-accelerating particles},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {390},
     pages         = {411--419},
     year          = {1983},
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@Article{alcubierrebrandt99:_symmet,
     author        = {Alcubierre, M. and Brandt, S. and Br{\"u}gmann, B. and Holz, D. and Seidel, E. and Takahashi, R. and Thornburg, J.},
     title         = {Symmetry without symmetry: Numerical simulation of axisymmetric systems using cartesian grids},
     journal       = {Int.~J.\ Mod.\ Phys.~D},
     volume        = {10},
     pages         = {273--290},
     year          = {2001},
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@Article{abrahamsanderson96:_einst_yang_mills,
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     volume        = {75},
     pages         = {3377--3381},
     year          = {1996},
     keywords      = {Einstein equations, hyperbolic equations},
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     onlineyear    = {1995},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9506072},
     cited         = {December 19, 1999},
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@Article{anderssonchrusciel93:_cauch_einst,
     author        = {Andersson, L. and Chru{\'s}ciel, P.T.},
     title         = {On `hyperboloidal' Cauchy data for vacuum Einstein equations and obstructions to smoothness of `null-infinity'},
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     volume        = {70},
     pages         = {2829--2832},
     year          = {1993},
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     onlinemonth   = {April},
     onlineyear    = {1993},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9304019},
     cited         = {December 19, 1999},
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}

@Article{anderssonchrusciel94:_cauch_einst,
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     volume        = {161},
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@Article{anderssonchruscielfriedrich92:_yamab,
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     volume        = {149},
     pages         = {587--612},
     year          = {1992},
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@InProceedings{arnowittdeser62,
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     editor        = {Louis Witten},
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@InBook{ashtekar80:_asym_struct_spat_inf,
     author        = {Ashtekar, A.},
     editor        = {Held, A.},
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     address       = {New York, NY, U.S.A.},
     pages         = {37--70},
     year          = {1980},
     keywords      = {asymptotics, isolated systems},
     chapter       = {2},
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@InProceedings{ashtekar84:_asymp_isol_syst,
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     title         = {Asymptotic properties of isolated systems: recent developments},
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     year          = {1984},
     editor        = {Bertotti, B. and de Felice, F. and Pascolini, A.},
     pages         = {37--68},
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     address       = {Dordrecht, Netherlands},
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@Book{ashtekar87:_asymp_quant,
     author        = {Ashtekar, A.},
     title         = {Asymptotic quantization},
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     address       = {Naples, Italy},
     year          = {1987},
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@InBook{ashtekarbombelli91:_covar_phase_space,
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     editor        = {Francaviglia, M.},
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     booktitle     = {Mechanics, analysis and geometry: 200 years after Lagrange},
     publisher     = {North-Holland Publishing Co.},
     address       = {Amsterdam, Netherlands},
     pages         = {417--450},
     year          = {1991},
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@Article{ashtekarhansen78:_null_spatial,
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     volume        = {19},
     pages         = {1542--1566},
     year          = {1978},
     keywords      = {asymptotics, isolated systems},
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@Article{ashtekarromano92:_spatial,
     author        = {Ashtekar, A. and Romano, J.},
     title         = {Spatial infinity as a boundary of space-time},
     journal       = {Class.\ Quantum Grav.},
     volume        = {9},
     pages         = {1069--1100},
     year          = {1992},
     keywords      = {asymptotics, isolated systems},
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@Article{ashtekarstreubel81:_sympl,
     author        = {Ashtekar, A. and Streubel, M.},
     title         = {Symplectic geometry of radiative modes and conserved quantities at null infinity},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {376},
     pages         = {585--607},
     year          = {1981},
     keywords      = {hamiltonian systems, asymptotics, canonical methods},
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@Article{ashtekarxanthopoulos78:_isomet,
     author        = {Ashtekar, A. and Xanthopoulos, B.},
     title         = {Isometries compatible with the asymptotic flatness at null infinity: A complete description},
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     volume        = {19},
     pages         = {2216--2222},
     year          = {1978},
     keywords      = {asymptotics, isolated systems},
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@InProceedings{bartnik92:_einst_yang_mills,
     author        = {Bartnik, R.},
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     booktitle     = {Physics Today: Proceedings of the 1988 Hungarian Relativity Workshop, Tihany},
     year          = {1992},
     editor        = {Perjes, Z.},
     pages         = {221--240},
     publisher     = {Nova Science Publishers},
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@Article{bateman10:_trafo_edyn_eqns,
     author        = {Bateman, H.},
     title         = {The transformations of the electrodynamical equations},
     journal       = {Proc.\ London Math.\ Soc.~2},
     volume        = {8},
     pages         = {223--264},
     year          = {1910},
     keywords      = {mathematical physics},
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@Article{baumgarteshapiro99:_numer_integ_field_equat,
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     title         = {On the numerical integration of Einstein's field equations},
     journal       = {Phys.\ Rev.~D},
     volume        = {59},
     pages         = {024007},
     year          = {1999},
     keywords      = {ADM formalism, numerical relativity},
     onlinetitle   = {On the Numerical Integration of Einstein's Field Equations},
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     onlineyear    = {1998},
     fileformat    = {Online Los Alamos Archive Preprint},
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     cited         = {December 19, 1999},
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@Article{beig84:_integ,
     author        = {Beig, R.},
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     volume        = {391},
     pages         = {295--304},
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@Article{beigschmidt82:_eq_spat_infty,
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     volume        = {87},
     pages         = {65--80},
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@Article{beigsimon80:_proof_geroch,
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     volume        = {78},
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     year          = {1980},
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@Article{bischmidt89:_boost_rotat,
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     volume        = {40},
     pages         = {1827--1853},
     year          = {1989},
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@InProceedings{bishop93:_some,
     author        = {Bishop, N.T.},
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     editor        = {d' Inverno, R.A.},
     pages         = {20--33},
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@InProceedings{bishopgomez98:_cauch_charac_match,
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     booktitle     = {On the black hole trail},
     year          = {1998},
     editor        = {Iyer, B.},
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@Article{bonazzolagourgoulhon99:_spect,
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     volume        = {109},
     pages         = {433--473},
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@Article{bondi59:_gravit_iii,
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     volume        = {251},
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@Article{bondi62:_gravit_vii,
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@Article{bonnor66:_gravit,
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     volume        = {289},
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@InBook{choquet-bruhat80:_cauch_probl,
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@Article{christodoulou91:_bh_sing_sph_symm,
     author        = {Christodoulou, D.},
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     volume        = {44},
     pages         = {339--373},
     year          = {1991},
     keywords      = {gravitational collapse,initial value problem,singularities, analysis},
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@Book{christodoulouklainermann93:_minkow,
     author        = {Christodoulou, D. and Klainermann, S.},
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     keywords      = {Einstein equations, hyperbolic equations, elliptic equations, existence theorems, uniqueness theorems},
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     pages         = {113--141},
     year          = {1995},
     keywords      = {gravitational radiation, isolated systems, asymptotics},
     number        = {1692},
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     fileformat    = {Online Los Alamos Archive Preprint},
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     cited         = {December 19, 1999},
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     keywords      = {mathematical physics},
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@Article{cutlerwald89:_exist_einst_maxwel,
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     volume        = {6},
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@Article{einstein18:_ueber_gravit,
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@Article{engquistmajda77:_absor_bound_cond,
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@Article{frauendiener89:_geomet,
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@Article{frauendiener99:_init_data_ps,
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     volume        = {109},
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     onlinetitle   = {Calculating initial data for the conformal field equations by pseudo-spectral methods},
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     onlineaddress = {http://arxiv.org/abs/gr-qc/9806103},
     cited         = {December 19, 1999},
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@Article{frauendiener98:_numer_hivp_i,
     author        = {Frauendiener, J.},
     title         = {Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. I. The conformal field equations},
     journal       = {Phys.\ Rev.~D},
     volume        = {58},
     pages         = {064002},
     year          = {1998},
     keywords      = {gravitational radiation, numerical methods, spectral methods, initial value problem, asymptotics, spinors, hyperbolic equations},
     onlinetitle   = {Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. I. The conformal field equations},
     onlinemonth   = {December},
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     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9712050},
     cited         = {December 19, 1999},
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@Article{frauendiener98:_numer_hivp_ii,
     author        = {Frauendiener, J.},
     title         = {Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations},
     journal       = {Phys.\ Rev.~D},
     volume        = {58},
     pages         = {064003},
     year          = {1998},
     keywords      = {gravitational radiation, numerical methods, spectral methods, initial value problem, asymptotics, spinors, hyperbolic equations},
     onlinetitle   = {Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations},
     onlinemonth   = {December},
     onlineyear    = {1997},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9712052},
     cited         = {December 19, 1999},
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@Article{frauendiener98:_numer_hivp_iii,
     author        = {Frauendiener, J.},
     title         = {Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. III. On the determination of radiation},
     journal       = {Class.\ Quantum Grav.},
     volume        = {17},
     pages         = {373--387},
     year          = {2000},
     keywords      = {gravitational radiation, numerical methods, spectral methods, initial value problem, asymptotics, spinors, hyperbolic equations},
     number        = {2},
     onlinetitle   = {Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. III. On the determination of radiation},
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     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9808072},
     cited         = {December 19, 1999},
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}

@PhdThesis{frauendiener99:_habil,
     author        = {Frauendiener, J.},
     title         = {Conformal methods in numerical relativity},
     school        = {Universit{\"a}t T{\"u}bingen},
     address       = {T{\"u}bingen, Germany},
     year          = {1999},
     keywords      = {gravitational radiation, numerical methods, spectral methods, initial value problem, asymptotics, spinors, hyperbolic equations},
     type          = {Habilitations\-schrift},
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}

@InProceedings{friedrich79:_gregynog,
     author        = {Friedrich, H.},
     title         = {On the regular and the asymptotic characteristic initial value problem for Einstein's vacuum field equations},
     booktitle     = {Proceedings of the third Gregynog relativity workshop, Gravitational Radiation Theory},
     year          = {1979},
     editor        = {Walker, M.},
     publisher     = {Max-Planck-Institut f. Physik und Astrophysik},
     address       = {M{\"u}nchen, Germany},
     keywords      = {asymptotics, initial value problem, Einstein equations, null surfaces, uniqueness theorems, hyperbolic equations},
     number        = {MPI-PAE / Astro 204},
     series        = {Max-Planck Green Report},
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@Article{friedrich81:_reg_asymp_civp,
     author        = {Friedrich, H.},
     title         = {On the regular and the asymptotic characteristic initial value problem for Einstein's vacuum field equations},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {375},
     pages         = {169--184},
     year          = {1981},
     keywords      = {asymptotics, initial value problem, Einstein equations, null surfaces, uniqueness theorems, hyperbolic equations},
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@Article{friedrich81:_asymp_civp,
     author        = {Friedrich, H.},
     title         = {The asymptotic characteristic initial value problem for Einstein's vacuum field equations as an initial value problem for a first-order quasilinear symmetric hyperbolic system},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {378},
     pages         = {401--421},
     year          = {1981},
     keywords      = {asymptotics, initial value problem, Einstein equations, null surfaces, uniqueness theorems, hyperbolic equations},
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}

@Article{friedrich82:_exist_acivp,
     author        = {Friedrich, H.},
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     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {381},
     pages         = {361--371},
     year          = {1982},
     keywords      = {asymptotics, initial value problem, Einstein equations, null surfaces, existence theorems, uniqueness theorems, hyperbolic equations, elliptic equations},
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@Article{friedrich83:_cauch_probl_confor_vacuum_field,
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     volume        = {91},
     pages         = {445--472},
     year          = {1983},
     keywords      = {asymptotics, initial value problem, Einstein equations, uniqueness theorems, existence theorems, hyperbolic equations, elliptic equations},
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@Article{friedrich85:_hyperbolicity,
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     volume        = {100},
     pages         = {525--543},
     year          = {1985},
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@Article{friedrich86:_exist_compl,
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     volume        = {107},
     pages         = {587--609},
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@Article{friedrich86:_pure_radiat,
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     volume        = {103},
     pages         = {36--65},
     year          = {1986},
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}

@Article{friedrich88:_stat_radiat,
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     volume        = {119},
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}

@Article{friedrich91:_einst_maxwel_yang_mills,
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     volume        = {34},
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@InProceedings{friedrich92:_asymp_struct,
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     keywords      = {asymptotics, initial value problem, Einstein equations, uniqueness theorems, existence theorems, hyperbolic equations, elliptic equations},
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@Article{friedrich95:_exist_ads,
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     volume        = {17},
     pages         = {125--184},
     year          = {1995},
     keywords      = {asymptotics, initial value problem, Einstein equations, uniqueness theorems, existence theorems, hyperbolic equations, elliptic equations},
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@Article{friedrich96:_hyper_reduct,
     author        = {Friedrich, H.},
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     journal       = {Class.\ Quantum Grav.},
     volume        = {13},
     pages         = {1451--1469},
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@Article{friedrich98:_gravit_fields,
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     volume        = {24},
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@InProceedings{friedrich98:_oxford_talk,
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     pages         = {81--98},
     publisher     = {Oxford University Press},
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@Article{friedrichkannar00:_bondi_np,
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     volume        = {41},
     pages         = {2195--2232},
     year          = {2000},
     keywords      = {asymptotics, isolated systems},
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     onlinemonth   = {November},
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     cited         = {December 19, 1999},
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}

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     volume        = {201},
     pages         = {619--655},
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}

@Article{friedrichschmidt87:_confor_geod,
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     volume        = {414},
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@Article{geroch70:_multip_mom_1,
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     volume        = {11},
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@InProceedings{geroch71:_space_time_global,
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@InProceedings{geroch77:_asym_struc,
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@PhdThesis{huebner93:_numer_unter_raumz_techn,
     author        = {H{\"u}bner, P.},
     title         = {Numerische und analytische Untersuchungen von (singul{\"a}ren,) asymptotisch flachen Raumzeiten mit konformen Techniken},
     school        = {Ludwig-Maximilians-Universit{\"a}t},
     address       = {M{\"u}nchen, Germany},
     year          = {1993},
     keywords      = {numerical methods, initial value problem, asymptotics, hyperbolic equations},
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}

@Article{huebner94:_method_calc_sing_spti,
     author        = {H{\"u}bner, P.},
     title         = {Method for calculating the global structure of (singular) spacetimes},
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     volume        = {53},
     pages         = {701--721},
     year          = {1994},
     keywords      = {numerical methods, initial value problem, asymptotics, hyperbolic equations},
     number        = {2},
     onlinetitle   = {Method for calculating the global structure of (singular) spacetimes},
     onlinemonth   = {September},
     onlineyear    = {1994},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9409029},
     cited         = {December 19, 1999},
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@Article{huebner95:_gener_relat_scal_field,
     author        = {H{\"u}bner, P.},
     title         = {General relativistic scalar-field models and asymptotic flatness},
     journal       = {Class.\ Quantum Grav.},
     volume        = {12},
     pages         = {791--808},
     year          = {1995},
     keywords      = {numerical methods, initial value problem, asymptotics, hyperbolic equations},
     number        = {3},
     onlinetitle   = {General relativistic scalar-field models and asymptotic flatness},
     onlinemonth   = {August},
     onlineyear    = {1994},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9408012},
     cited         = {December 19, 1999},
     ReferencedIn  = {lrr-2004-1}
}

@Article{huebner96:_numer_glob,
     author        = {H{\"u}bner, P.},
     title         = {Numerical approach to the global structure of space-time},
     journal       = {Helv.\ Phys.\ Acta},
     volume        = {69},
     pages         = {317--320},
     year          = {1996},
     keywords      = {numerical methods, initial value problem, asymptotics, hyperbolic equations},
     ReferencedIn  = {lrr-2004-1}
}

@Article{huebner98:_more_vacuum_spacet_toroid_null_infin,
     author        = {H{\"u}bner, P.},
     title         = {More about vacuum spacetimes with toroidal null infinities},
     journal       = {Class.\ Quantum Grav.},
     volume        = {15},
     pages         = {L21--L25},
     year          = {1998},
     keywords      = {asymptotics, Einstein equations, exact solutions},
     ReferencedIn  = {lrr-2004-1}
}

@Article{huebner99:_how_to,
     author        = {H{\"u}bner, P.},
     title         = {How to avoid artificial boundaries in the numerical calculation of black hole space-times},
     journal       = {Class.\ Quantum Grav.},
     volume        = {16},
     pages         = {2145--2164},
     year          = {1999},
     keywords      = {gravitational radiation,numerical methods, initial value problem, asymptotics, hyperbolic equations},
     number        = {7},
     onlinetitle   = {How to avoid artificial boundaries in the numerical calculation of black hole space-times},
     onlinemonth   = {April},
     onlineyear    = {1999},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9804065},
     cited         = {December 19, 1999},
     ReferencedIn  = {lrr-2004-1}
}

@Article{huebner99:_scheme_einstein,
     author        = {H{\"u}bner, P.},
     title         = {A scheme to numerically evolve data for the conformal Einstein equation},
     journal       = {Class.\ Quantum Grav.},
     volume        = {16},
     pages         = {2823--2843},
     year          = {1999},
     keywords      = {gravitational radiation, numerical methods, initial value problem, asymptotics, hyperbolic equations},
     number        = {9},
     onlinetitle   = {A scheme to numerically evolve data for the conformal Einstein equation},
     onlinemonth   = {March},
     onlineyear    = {1999},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9903088},
     cited         = {December 19, 1999},
     ReferencedIn  = {lrr-2004-1}
}

@Proceedings{huggett98:_geomet_univer,
     title         = {The Geometric Universe: Science, Geometry and the Work of Roger Penrose},
     editor        = {Huggett, S.A. and Mason, L.J. and Tod, K.P. and Tsou, S.S. and Woodhouse, N.M.J.},
     publisher     = {Oxford University Press},
     address       = {Oxford, U.K.},
     year          = {1998},
     ReferencedIn  = {lrr-2004-1}
}

@PhdThesis{hungerbuehler97:_loesun_system_allgem_relat_pseud,
     author        = {Hungerb{\"u}hler, R.},
     title         = {L{\"o}sung kugelsymmetrischer Systeme in der Allgemeinen Relativit{\"a}tstheorie mit Pseudospektralmethoden},
     school        = {Universit{\"a}t T{\"u}bingen},
     address       = {T{\"u}bingen, Germany},
     year          = {1997},
     keywords      = {Einstein equations, numerical methods, spectral methods},
     type          = {Diplomarbeit},
     ReferencedIn  = {lrr-2004-1}
}

@Article{isenbergpark97:_asymp_einst,
     author        = {Isenberg, J. and Park, J.},
     title         = {Asymptotically hyberbolic nonconstant mean curvature solutions of the Einstein constraint equations},
     journal       = {Class.\ Quantum Grav.},
     volume        = {14},
     pages         = {A189--A201},
     year          = {1997},
     keywords      = {asymptotics, elliptic equations, constraint equations},
     ReferencedIn  = {lrr-2004-1}
}

@Article{jordan61:_beitr_theor_gravit,
     author        = {Jordan, P. and Ehlers, J. and Sachs, R.K.},
     title         = {Beitr{\"a}ge zur Theorie der reinen Gravitationsstrahlung},
     journal       = {Akad.\ Wiss.\ Lit.\ Mainz, Abh.\ Math.\ Nat.\ Kl.},
     volume        = {1},
     pages         = {1--85},
     year          = {1961},
     keywords      = {gravitational radiation, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}

@Article{kannar96:_asymp_char_ivp,
     author        = {K{\'a}nn{\'a}r, J.},
     title         = {On the existence of $\cal C^\infty$ solutions to the asymptotic characteristic initial value problem in general elativity},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {452},
     pages         = {945--952},
     year          = {1996},
     keywords      = {asymptotics, initial value problem, existence theorems, uniqueness theorems, Einstein equations},
     ReferencedIn  = {lrr-2004-1}
}

@Article{kannar96:_hyper_einst,
     author        = {K{\'a}nn{\'a}r, J.},
     title         = {Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant},
     journal       = {Class.\ Quantum Grav.},
     volume        = {13},
     pages         = {3075--3084},
     year          = {1996},
     keywords      = {asymptotics, initial value problem, existence theorems, uniqueness theorems, Einstein equations, constraint equations},
     number        = {11},
     ReferencedIn  = {lrr-2004-1}
}

@InProceedings{kozameh98:_dynam,
     author        = {Kozameh, C.N.},
     title         = {Dynamics of null surfaces in general relativity},
     booktitle     = {Gravitation and Relativity: At the turn of the Millennium. Proceedings of the GR-15 Conference},
     year          = {1998},
     editor        = {Dadhich, N. and Narlikar, J.},
     pages         = {139--152},
     publisher     = {IUCAA},
     address       = {Pune, India},
     keywords      = {Einstein equations, null surfaces},
     ReferencedIn  = {lrr-2004-1}
}

@Article{kroon98:_conser_quant_polyh_space_times,
     author        = {Valiente Kroon, J.A.},
     title         = {Conserved quantities for polyhomogeneous space-times},
     journal       = {Class.\ Quantum Grav.},
     volume        = {15},
     pages         = {2479--2491},
     year          = {1998},
     keywords      = {asymptotics, gravitational radiation},
     onlinetitle   = {Conserved Quantities for Polyhomogeneous Space-Times},
     onlinemonth   = {May},
     onlineyear    = {1998},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9805094},
     cited         = {December 19, 1999},
     ReferencedIn  = {lrr-2004-1}
}

@Article{kroon99:_logar_newman_penros,
     author        = {Valiente Kroon, J.A.},
     title         = {Logarithmic Newman--Penrose constants for arbitrary polyhomogeneous spacetimes},
     journal       = {Class.\ Quantum Grav.},
     volume        = {16},
     pages         = {1653--1665},
     year          = {1999},
     keywords      = {asymptotics, isolated systems},
     onlinetitle   = {Logarithmic Newman--Penrose constants for arbitrary polyhomogeneous spacetimes},
     onlinemonth   = {December},
     onlineyear    = {1998},
     fileformat    = {Online Los Alamos Archive Preprint},
     onlineaddress = {http://arxiv.org/abs/gr-qc/9812004},
     cited         = {December 19, 1999},
     ReferencedIn  = {lrr-2004-1}
}

@Book{lichnerowicz55:_theor,
     author        = {Lichnerowicz, A.},
     title         = {Th{\'e}ories relativistes de la gravitation et de l'{\'e}lectromagn{\'e}tisme},
     publisher     = {Masson et Cie.},
     address       = {Paris, France},
     year          = {1955},
     keywords      = {general relativity},
     ReferencedIn  = {lrr-2004-1}
}

@Article{lichnerowicz58:_ondes_gravit,
     author        = {Lichnerowicz, A.},
     title         = {Sur les ondes et radiations gravitationnelles},
     journal       = {Comptes Rendus Acad.\ Sci.},
     volume        = {246},
     pages         = {893--896},
     year          = {1958},
     keywords      = {gravitational radiation, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}

@Article{marder58:_gravit_i,
     author        = {Marder, L.},
     title         = {Gravitational waves in general relativity I. Cylindrical waves},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {244},
     pages         = {524--537},
     year          = {1958},
     keywords      = {gravitational radiation, exact solutions},
     ReferencedIn  = {lrr-2004-1}
}

@Article{marder58:_gravit_ii,
     author        = {Marder, L.},
     title         = {Gravitational waves in general relativity II. The reflexion of cylindrical waves},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {246},
     pages         = {133--143},
     year          = {1958},
     keywords      = {gravitational radiation, exact solutions},
     ReferencedIn  = {lrr-2004-1}
}

@Article{marder61:_gravit_v,
     author        = {Marder, L.},
     title         = {Gravitational waves in general relativity V. An exact spherical wave},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {261},
     pages         = {91--96},
     year          = {1961},
     keywords      = {gravitational radiation, exact solutions},
     ReferencedIn  = {lrr-2004-1}
}

@Article{mccarthy72:_repres_bondi_metzn_sachs_i,
     author        = {McCarthy, P.J.},
     title         = {Representations of the Bondi--Metzner-Sachs group I. Determination of the representations},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {330},
     pages         = {517--535},
     year          = {1972},
     keywords      = {asymptotics, mathematical physics},
     ReferencedIn  = {lrr-2004-1}
}

@Article{mccarthy72:_struc_bondi_metzn_sachs,
     author        = {McCarthy, P.J.},
     title         = {Structure of the Bondi--Metzner-Sachs group},
     journal       = {J.~Math.\ Phys.},
     volume        = {13},
     pages         = {1837--1842},
     year          = {1972},
     keywords      = {asymptotics, mathematical physics},
     number        = {11},
     ReferencedIn  = {lrr-2004-1}
}

@Article{mccarthy73:_repres_bondi_metzn_sachs_ii,
     author        = {McCarthy, P.J.},
     title         = {Representations of the Bondi--Metzner-Sachs group II. Properties and classification of the representations},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {333},
     pages         = {317--336},
     year          = {1973},
     keywords      = {asymptotics, mathematical physics},
     ReferencedIn  = {lrr-2004-1}
}

@Article{mclennan56:_confor,
     author        = {McLennan, J.A.},
     title         = {Conformal invariance and conservation laws for relativistic wave equations for zero rest mass},
     journal       = {Nuovo Cimento},
     volume        = {3},
     pages         = {1360--1379},
     year          = {1956},
     keywords      = {mathematical physics, spinors},
     ReferencedIn  = {lrr-2004-1}
}

@Article{newman62:_behav,
     author        = {Newman, E.T. and Unti, T.W.J.},
     title         = {Behavior of asymptotically flat empty spaces},
     journal       = {J.~Math.\ Phys.},
     volume        = {3},
     pages         = {891--901},
     year          = {1962},
     keywords      = {asymptotics, gravitational radiation, Einstein equations},
     ReferencedIn  = {lrr-2004-1}
}

@Article{newman62:_grav_rad_spin_coeff,
     author        = {Newman, E.T. and Penrose, R.},
     title         = {An approach to gravitational radiation by a method of spin coefficients},
     journal       = {J.~Math.\ Phys.},
     volume        = {3},
     pages         = {896--902},
     year          = {1962},
     keywords      = {asymptotics, gravitational radiation, Einstein equations, spinors},
     note          = {Errata {\bf 4} (1963), 998},
     ReferencedIn  = {lrr-2004-1}
}

@Article{newman66:_note_bondi_metzn_sachs,
     author        = {Newman, E.T. and Penrose, R.},
     title         = {Note on the Bondi--Metzner--Sachs group},
     journal       = {J.~Math.\ Phys.},
     volume        = {7},
     pages         = {863--879},
     year          = {1966},
     keywords      = {asymptotics, mathematical physics},
     ReferencedIn  = {lrr-2004-1}
}

@Article{newman68:_new,
     author        = {Newman, E.T. and Penrose, R.},
     title         = {New conservation laws for zero rest-mass fields in asymptotically flat space-time},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {305},
     pages         = {175--204},
     year          = {1968},
     keywords      = {asymptotics, isolated systems, spinors},
     ReferencedIn  = {lrr-2004-1}
}

@Article{newman76:_heaven,
     author        = {Newman, E.T.},
     title         = {Heaven and its properties},
     journal       = {Gen.\ Relativ.\ Gravit.},
     volume        = {7},
     pages         = {107--111},
     year          = {1976},
     keywords      = {asymptotics, isolated systems, spinors, twistors},
     ReferencedIn  = {lrr-2004-1}
}

@InBook{newman80:_asym_flat_spa_tim,
     author        = {Newman, E.T. and Tod, K.P.},
     editor        = {Held, A.},
     title         = {Asymptotically flat space-times},
     booktitle     = {General Relativity and Gravitation},
     publisher     = {Plenum Press},
     address       = {New York, NY, U.S.A.},
     pages         = {1--36},
     year          = {1980},
     keywords      = {asymptotics, isolated systems, spinors},
     chapter       = {1},
     volume        = {2},
     ReferencedIn  = {lrr-2004-1}
}

@Article{newman89:_glob_struct_simp_spt,
     author        = {Newman, R.P.A.C.},
     title         = {The global structure of simple space-times},
     journal       = {Commun.\ Math.\ Phys.},
     volume        = {123},
     pages         = {17--52},
     year          = {1989},
     keywords      = {asymptotics, global methods, topology},
     ReferencedIn  = {lrr-2004-1}
}

@Article{penrose55:_gen_inv_mat,
     author        = {Penrose, R.},
     title         = {A generalized inverse for matrices},
     journal       = {Proc.\ Cambridge Philos.\ Soc.},
     volume        = {51},
     pages         = {406--413},
     year          = {1955},
     keywords      = {numerical mathematics},
     ReferencedIn  = {lrr-2004-1}
}

@Article{penrose60:_spin_appro,
     author        = {Penrose, R.},
     title         = {A spinor approach to general relativity},
     journal       = {Ann.\ Phys.\ (N. Y.)},
     volume        = {10},
     pages         = {171--201},
     year          = {1960},
     keywords      = {Einstein equations, spinors},
     ReferencedIn  = {lrr-2004-1}
}

@InProceedings{penrose64:_light_cone_inf,
     author        = {Penrose, R.},
     title         = {The light cone at infinity},
     booktitle     = {Relativistic Theories of Gravitation},
     year          = {1964},
     editor        = {Infeld, L.},
     pages         = {369--373},
     publisher     = {Pergamon Press},
     address       = {Oxford, U.K.},
     keywords      = {asymptotics, isolated systems, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}

@Article{penrose65:_zero,
     author        = {Penrose, R.},
     title         = {Zero rest-mass fields including gravitation: asymptotic behaviour},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {284},
     pages         = {159--203},
     year          = {1965},
     keywords      = {asymptotics, isolated systems, differential geometry, spinors},
     ReferencedIn  = {lrr-2004-1}
}

@InBook{penrose74:_relat_symm_groups,
     author        = {Penrose, R.},
     editor        = {Barut, A.O.},
     title         = {Relativistic symmetry groups},
     booktitle     = {Group Theory in non-linear Problems},
     publisher     = {Reidel Publishing Company},
     address       = {Dordrecht, Netherlands},
     pages         = {1--58},
     year          = {1974},
     keywords      = {asymptotics, isolated systems, differential geometry, spinors, twistors},
     chapter       = {1},
     ReferencedIn  = {lrr-2004-1}
}

@Article{penrose76:_nonlin,
     author        = {Penrose, R.},
     title         = {Nonlinear gravitons and curved twistor theory},
     journal       = {Gen.\ Relativ.\ Gravit.},
     volume        = {7},
     pages         = {31--52},
     year          = {1976},
     keywords      = {Einstein equations, twistors, spinors, complex analysis},
     ReferencedIn  = {lrr-2004-1}
}

@Article{penrose80:_null,
     author        = {Penrose, R.},
     title         = {Null hypersurface initial data for classical fields of arbitrary spin and for general relativity},
     journal       = {Gen.\ Relativ.\ Gravit.},
     volume        = {12},
     pages         = {225--264},
     year          = {1980},
     keywords      = {initial value problem, spinors, null surfaces},
     note          = {originally published in {\em Aerospace Research Laboratories Report} 63-56 (P. G. Bergmann)},
     ReferencedIn  = {lrr-2004-1}
}

@Article{penrose82:_quasi,
     author        = {Penrose, R.},
     title         = {Quasi-local mass and angular momentum in general relativity},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {381},
     pages         = {53--63},
     year          = {1982},
     keywords      = {Einstein equations, differential geometry, twistors, spinors},
     ReferencedIn  = {lrr-2004-1}
}

@Book{penrose84:_spinor_spacet_i,
     author        = {Penrose, R. and Rindler, W.},
     title         = {Spinors and Spacetime},
     publisher     = {Cambridge University Press},
     address       = {Cambridge, U.K.},
     year          = {1984},
     keywords      = {asymptotics, isolated systems, differential geometry, spinors, twistors},
     volume        = {1},
     ReferencedIn  = {lrr-2004-1}
}

@Book{penrose86:_spinor_spacet_ii,
     author        = {Penrose, R. and Rindler, W.},
     title         = {Spinors and Spacetime},
     publisher     = {Cambridge University Press},
     address       = {Cambridge, U.K.},
     year          = {1986},
     keywords      = {asymptotics, isolated systems, differential geometry, spinors, twistors},
     volume        = {2},
     ReferencedIn  = {lrr-2004-1}
}

@Article{penrose99:_prog_twist_theo,
     author        = {Penrose, R.},
     title         = {The central programme of twistor theory},
     journal       = {Chaos Solitons Fractals},
     volume        = {10},
     pages         = {581--611},
     year          = {1999},
     keywords      = {Einstein equations, differential geometry, twistors, spinors},
     number        = {2--3},
     ReferencedIn  = {lrr-2004-1}
}

@InBook{penrose99:_remarks_twist_theor,
     author        = {Penrose, R.},
     editor        = {Harvey, A.},
     title         = {Some remarks on twistor theory},
     booktitle     = {On Einstein's Path: Essays in Honor of Engelbert Sch{\"u}cking},
     publisher     = {Springer},
     address       = {New York, NY, U.S.A.},
     pages         = {353--366},
     year          = {1999},
     keywords      = {Einstein equations, differential geometry, twistors, spinors},
     chapter       = {25},
     ReferencedIn  = {lrr-2004-1}
}

@InProceedings{penrose:_struc,
     author        = {Penrose, R.},
     title         = {Structure of space-time},
     booktitle     = {Battelle Rencontres},
     year          = {1968},
     editor        = {DeWitt, C.M. and Wheeler, J.A.},
     pages         = {121--235},
     publisher     = {W.A.~Benjamin, Inc.},
     address       = {New York, NY, U.S.A.},
     keywords      = {asymptotics, isolated systems, differential geometry, spinors},
     ReferencedIn  = {lrr-2004-1}
}

@Article{pirani57:_invar,
     author        = {Pirani, F.A.E.},
     title         = {Invariant formulation of gravitational radiation theory},
     journal       = {Phys.\ Rev.},
     volume        = {105},
     pages         = {1089--1099},
     year          = {1957},
     keywords      = {gravitational radiation, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}

@Article{pirani59:_gravit_iv,
     author        = {Pirani, F.A.E.},
     title         = {Gravitational waves in general relativity IV. The gravitational field of a fast-moving particle},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {252},
     pages         = {96--101},
     year          = {1959},
     keywords      = {gravitational radiation, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}

@InEjournal{rendall98:_local_einst,
     author        = {Rendall, A.D.},
     title         = {Local and global existence theorems for the Einstein equations},
     journal       = {Living Rev. Relativity},
     onlineyear    = {2002},
     fileformat    = {Online Journal Article},
     onlineaddress = {http://www.livingreviews.org/lrr-2002-6},
     cited         = {23 July 2003},
     keywords      = {initial value problem, existence theorems, uniqueness theorems, null surfaces, Einstein equations},
     onlinemonth   = {September},
     volume        = {5},
     articleid     = {lrr-2002-6},
     ReferencedIn  = {lrr-2004-1}
}

@Article{robinson69:_conser_newman_penros,
     author        = {Robinson, D.C.},
     title         = {Conserved quantities of Newman and Penrose},
     journal       = {J.~Math.\ Phys.},
     volume        = {10},
     pages         = {1745--1753},
     year          = {1969},
     keywords      = {asymptotics, isolated systems},
     number        = {9},
     ReferencedIn  = {lrr-2004-1}
}

@Article{rosen37:_plane,
     author        = {Rosen, N.},
     title         = {Plane polarised waves in the general theory of relativity},
     journal       = {Phys.~Z.\ Sowjetunion},
     volume        = {12},
     pages         = {366--372},
     year          = {1937},
     keywords      = {gravitational radiation, Einstein equations, exact solutions},
     ReferencedIn  = {lrr-2004-1}
}

@Article{sachs58:_struc,
     author        = {Sachs, R.K. and Bergmann, P.G.},
     title         = {Structure of particles in linearized gravitational theory},
     journal       = {Phys.\ Rev.},
     volume        = {112},
     pages         = {674--680},
     year          = {1958},
     keywords      = {Einstein equations, perturbation theory},
     number        = {2},
     ReferencedIn  = {lrr-2004-1}
}

@Article{sachs60:_propag_iii,
     author        = {Sachs, R.K.},
     title         = {Propagation laws for null and type III gravitational waves},
     journal       = {Z.~Phys.},
     volume        = {157},
     pages         = {462--477},
     year          = {1960},
     keywords      = {gravitational radiation, Einstein equations, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}

@Article{sachs61:_gravit_vi,
     author        = {Sachs, R.K.},
     title         = {Gravitational waves in general relativity VI. The outgoing radiation condition},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {264},
     pages         = {309--338},
     year          = {1961},
     keywords      = {gravitational radiation, asymptotics, isolated systems, Einstein equations},
     ReferencedIn  = {lrr-2004-1}
}

@Article{sachs62:_gravit_viii,
     author        = {Sachs, R.K.},
     title         = {Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time},
     journal       = {Proc.\ R.~Soc.\ London, Ser.~A},
     volume        = {270},
     pages         = {103--127},
     year          = {1962},
     keywords      = {gravitational radiation, asymptotics, isolated systems, Einstein equations},
     ReferencedIn  = {lrr-2004-1}
}

@Article{sachs62:_asymp,
     author        = {Sachs, R.K.},
     title         = {Asymptotic symmetries in gravitational theories},
     journal       = {Phys.\ Rev.},
     volume        = {128},
     pages         = {2851--2864},
     year          = {1962},
     keywords      = {asymptotics, mathematical physics, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}

@InProceedings{sachs64:_charac,
     author        = {Sachs, R.K.},
     title         = {Characteristic initial value problem for gravitational theory},
     booktitle     = {Relativistic Theories of Gravitation},
     year          = {1964},
     editor        = {Infeld, L.},
     pages         = {93--105},
     publisher     = {Pergamon Press},
     address       = {Oxford, U.K.},
     keywords      = {gravitational radiation, asymptotics, isolated systems, Einstein equations, initial value problem, null surfaces},
     ReferencedIn  = {lrr-2004-1}
}

@InProceedings{sachs64:_gravit_rad,
     author        = {Sachs, R.K.},
     title         = {Gravitational radiation},
     booktitle     = {Relativity, Groups and Topology},
     year          = {1964},
     editor        = {DeWitt, C.M. and DeWitt, B.},
     pages         = {523--562},
     publisher     = {Gordon and Breach},
     address       = {New York, NY, U.S.A.},
     keywords      = {gravitational radiation, asymptotics, isolated systems, Einstein equations, initial value problem, null surfaces},
     ReferencedIn  = {lrr-2004-1}
}

@Article{schmidt74:_conf_proj_inf,
     author        = {Schmidt, B.G.},
     title         = {A new definition of conformal and projective infinity of space-times},
     journal       = {Commun.\ Math.\ Phys.},
     volume        = {36},
     pages         = {73--90},
     year          = {1974},
     keywords      = {asymptotics, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}

@InProceedings{schmidt77:_confor,
     author        = {Schmidt, B.G.},
     title         = {Conformal bundle boundaries},
     booktitle     = {Asymptotic structure of space-time},
     year          = {1977},
     editor        = {Esposito, F.P. and Witten, L.},
     pages         = {429--440},
     publisher     = {Plenum Press},
     address       = {New York, NY, U.S.A.},
     keywords      = {differential geometry, asymptotics},
     ReferencedIn  = {lrr-2004-1}
}

@InProceedings{schmidt78:_asymp_struct_iso_sys,
     author        = {Schmidt, B.G.},
     title         = {Asymptotic structure of isolated systems},
     booktitle     = {Isolated Gravitating Systems in General Relativity},
     year          = {1978},
     editor        = {Ehlers, J.},
     pages         = {11--49},
     publisher     = {Academic Press},
     address       = {New York, NY, U.S.A.},
     keywords      = {gravitational radiation, asymptotics, isolated systems, Einstein equations},
     ReferencedIn  = {lrr-2004-1}
}

@Article{schmidt91:_uniqueness,
     author        = {Schmidt, B.G.},
     title         = {On the uniqueness of boundaries at infinity of asymptotically flat spacetimes},
     journal       = {Class.\ Quantum Grav.},
     volume        = {8},
     pages         = {1491--1504},
     year          = {1991},
     keywords      = {asymptotics, isolated systems, Einstein equations, uniqueness theorems},
     ReferencedIn  = {lrr-2004-1}
}

@Article{schmidt96:_vacuum,
     author        = {Schmidt, B.G.},
     title         = {Vacuum space-times with toroidal null infinities},
     journal       = {Class.\ Quantum Grav.},
     volume        = {13},
     pages         = {2811--2816},
     year          = {1996},
     keywords      = {asymptotics, exact solutions},
     ReferencedIn  = {lrr-2004-1}
}

@Article{simonbeig83:_multip_struct,
     author        = {Simon, W. and Beig, R.},
     title         = {The multipole structure of stationary space-times},
     journal       = {J.~Math.\ Phys.},
     volume        = {24},
     pages         = {1163--1171},
     year          = {1983},
     keywords      = {asymptotics, isolated systems, uniqueness theorems},
     number        = {5},
     ReferencedIn  = {lrr-2004-1}
}

@Article{sommers78:_space_like_infty,
     author        = {Sommers, P.},
     title         = {The geometry of the gravitational field at space-like infinity},
     journal       = {J.~Math.\ Phys.},
     volume        = {19},
     pages         = {549--554},
     year          = {1978},
     keywords      = {differential geometry, asymptotics, isolated systems},
     ReferencedIn  = {lrr-2004-1}
}

@Article{streubel78:_conserv_quant,
     author        = {Streubel, M.},
     title         = {`Conserved' quantities for isolated gravitational systems},
     journal       = {Gen.\ Relativ.\ Gravit.},
     volume        = {9},
     pages         = {551--561},
     year          = {1978},
     keywords      = {differential geometry, asymptotics, isolated systems, spinors, twistors},
     number        = {6},
     ReferencedIn  = {lrr-2004-1}
}

@Article{trefethen82:_group,
     author        = {Trefethen, L.N.},
     title         = {Group velocity in finite difference schemes},
     journal       = {SIAM Rev.},
     volume        = {24},
     pages         = {113--136},
     year          = {1982},
     keywords      = {numerical mathematics, numerical methods},
     ReferencedIn  = {lrr-2004-1}
}

@Unpublished{trefethen:_finit_differ_spect_method,
     author        = {Trefethen, L.N.},
     title         = {Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations},
     note          = {graduate textbook, privately published},
     keywords      = {numerical mathematics, numerical methods},
     year          = {1996},
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}

@Book{wald84:_gener_relat,
     author        = {Wald, R.M.},
     title         = {General Relativity},
     publisher     = {Chicago University Press},
     address       = {Chicago, IL, U.S.A.},
     year          = {1984},
     keywords      = {general relativity},
     ReferencedIn  = {lrr-2004-1}
}

@Article{trautman58:_bound_condit,
     author        = {Trautman, A.},
     title         = {Boundary Conditions at infinity for physical theories},
     journal       = {Bull.\ Acad.\ Polon.\ Sci.\ Cl.~III},
     volume        = {6},
     pages         = {403--406},
     year          = {1958},
     keywords      = {asymptotics, isolated systems, gravitational radiation},
     ReferencedIn  = {lrr-2004-1}
}

@Article{trautman58:_radiat,
     author        = {Trautman, A.},
     title         = {Radiation and boundary conditions in the theory of gravitation},
     journal       = {Bull.\ Acad.\ Polon.\ Sci.\ Cl.~III},
     volume        = {6},
     pages         = {407--412},
     year          = {1958},
     keywords      = {asymptotics, isolated systems, gravitational radiation},
     ReferencedIn  = {lrr-2004-1}
}

@InBook{winicour80:_angul,
     author        = {Winicour, J.},
     editor        = {Held, A.},
     title         = {Angular momentum in general relativity},
     booktitle     = {General Relativity and Gravitation},
     publisher     = {Plenum Press},
     address       = {New York, NY, U.S.A.},
     pages         = {71--96},
     year          = {1980},
     keywords      = {asymptotics, isolated systems, differential geometry},
     chapter       = {3},
     volume        = {1},
     ReferencedIn  = {lrr-2004-1}
}

@Article{winicour85:_logar,
     author        = {Winicour, J.},
     title         = {Logarithmic asymptotic flatness},
     journal       = {Found.\ Phys.},
     volume        = {15},
     pages         = {605--616},
     year          = {1985},
     keywords      = {asymptotics, isolated systems, gravitational radiation, differential geometry},
     ReferencedIn  = {lrr-2004-1}
}