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
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