Abstract
1
Introduction
2
Local Existence
2.1
The constraints
2.2
The vacuum evolution ...
2.3
Questions of differentiability
2.4
New techniques for ...
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 solutions
3.4
Cylindrically symmetric solutions
3.5
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 ...
5.2
Stability of Minkowski ...
5.3
Stability of the ...
5.4
Stability of the ...
6
Prescribed Singularities
6.1
Isotropic singularities
6.2
Fuchsian equations
7
Asymptotics of Expanding Cosmological Models
7.1
Lessons from homogeneous ...
7.2
Inhomogeneous solutions with ...
7.3
Inflationary models
8
Structure of General Singularities
8.1
Lessons from homogeneous ...
8.2
Inhomogeneous solutions
8.3
Formation of localized ...
9
Further Results
9.1
Evolution of hyperboloidal ...
9.2
The Newtonian limit
9.3
Newtonian cosmology
9.4
The characteristic initial ...
9.5
The initial boundary ...
10
Acknowledgements
References