HideSubsections
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
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