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	Abstract
1	Introduction
	1.1	Heuristics of higher-dimensional gravity
	1.2	Brane-worlds and M theory
	1.3	Heuristics of KK modes
2	Randall-Sundrum Brane-Worlds
3	Covariant Approach to Brane-World Geometry and Dynamics
	3.1	Field equations on the brane
	3.2	5-dimensional equations and the initial-value problem
	3.3	The brane viewpoint: A 1 + 3-covariant analysis
	3.4	Conservation equations
	3.5	Propagation and constraint equations on the brane
4	Gravitational Collapse and Black Holes on the Brane
	4.1	The black string
	4.2	Taylor expansion into the bulk
	4.3	The “tidal charge” black hole
	4.4	Realistic black holes
	4.5	Oppenheimer-Snyder collapse gives a non-static black hole
	4.6	AdS/CFT and black holes on 1-brane RS-type models
5	Brane-World Cosmology: Dynamics
	5.1	Brane-world inflation
	5.2	Brane-world instanton
	5.3	Models with non-empty bulk
6	Brane-World Cosmology: Perturbations
	6.1	1 + 3-covariant perturbation equations on the brane
	6.2	Metric-based perturbations
	6.3	Density perturbations on large scales
	6.4	Curvature perturbations and the Sachs-Wolfe effect
	6.5	Vector perturbations
	6.6	Tensor perturbations
7	Gravitational Wave Perturbations in Brane-World Cosmology
8	CMB Anisotropies in Brane-World Cosmology
	8.1	The low-energy approximation
	8.2	The simplest model
9	Conclusion
10	Acknowledgments
	References
	Figures

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