
Abstract 
1 
Introduction 
2 
Local Existence 

2.1 
The constraints 

2.2 
The
vacuum evolution equations 

2.3 
Questions of differentiability 

2.4 
New
techniques for rough solutions 

2.5 
Matter fields 

2.6 
Free boundary
problems 
3 
Global Symmetric Solutions 

3.1 
Stationary solutions 

3.2 
Spatially
homogeneous solutions 

3.3 
Spherically symmetric asymptotically flat
solutions 

3.4 
Weak null singularities and Price’s law 

3.5 
Cylindrically
symmetric solutions 

3.6 
Spatially compact solutions 
4 
Newtonian Theory
and Special Relativity 

4.1 
Hydrodynamics 

4.2 
Kinetic theory 

4.3 
Elasticity
theory 
5 
Global Existence for Small Data 

5.1 
Stability of de Sitter
space 

5.2 
Stability of Minkowski space 

5.3 
Stability of the (compactified)
Milne model 

5.4 
Stability of the Bianchi type III form of flat
spacetime 
6 
Prescribed Asymptotics 

6.1 
Isotropic singularities 

6.2 
Fuchsian
equations 

6.3 
Asymptotics for a phase of accelerated expansion 
7 
Asymptotics
of Expanding Cosmological Models 

7.1 
Lessons from homogeneous
solutions 

7.2 
Inhomogeneous solutions with 

7.3 
Homogeneous
models with 

7.4 
Acceleration due to nonlinear scalar fields 

7.5 
Other
models for cosmic acceleration 

7.6 
Inhomogeneous spacetimes with
accelerated expansion 
8 
Structure of General Singularities 

8.1 
Lessons
from homogeneous solutions 

8.2 
Inhomogeneous solutions 

8.3 
Formation of
localized structure 

8.4 
Cosmic censorship in Gowdy spacetimes 
9 
Further
Results 

9.1 
Evolution of hyperboloidal data 

9.2 
The Newtonian
limit 

9.3 
Newtonian cosmology 

9.4 
The characteristic initial value
problem 

9.5 
The initial boundary value problem 

9.6 
The geodesic
hypothesis 
10 
Acknowledgements 

References 