
Abstract 
1 
Introduction 

1.1 
Heuristics of higherdimensional gravity 

1.2 
Braneworlds
and M theory 

1.3 
Heuristics of KK modes 
2 
Randall–Sundrum
BraneWorlds 
3 
Covariant Approach to BraneWorld Geometry and
Dynamics 

3.1 
Field equations on the brane 

3.2 
5dimensional equations
and the initialvalue problem 

3.3 
The brane viewpoint: A 1+3covariant
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 nonstatic black hole 

4.6 
AdS/CFT and black
holes on 1brane RStype models 
5 
BraneWorld Cosmology:
Dynamics 

5.1 
Braneworld inflation 

5.2 
Braneworld instanton 

5.3 
Models with
nonempty bulk 
6 
BraneWorld Cosmology: Perturbations 

6.1 
1 + 3covariant
perturbation equations on the brane 

6.2 
Metricbased 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 BraneWorld Cosmology 
8 
CMB Anisotropies
in BraneWorld Cosmology 

8.1 
The lowenergy approximation 

8.2 
The
simplest model 
9 
Conclusion 
10 
Acknowledgments 

References 

Figures 