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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
open References References
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