Table of Contents

Foreword
Acknowledgements
1: Lorentzian Geometry
2: Special Relativity
3: General Relativity and the Einstein Equations
4: Schwarzschild Space-time and Black Holes
5: Cosmology
6: Local Cauchy Problem
7: Constraints
8: Other Hyperbolic-Elliptic systems
9: Relativistic Fluids
10: Kinetic Theory
11: Progressive Waves
12: Global Hyperbolicity and Causality
13: Singularities
14: Stationary Space-times and Black Holes
15: Global Existence Theorems, Asymptotically Euclidean Data
16: Global existence theorems, cosmological case
Appendices
I: Sobolev Spaces
II: Elliptic Systems
III: Second Order Quasidiagonal Systems
IV: General Hyperbolic Systems
V: Cauchy Kovalevski and Fuchs theorems
VI: Conformal Methods
VII: Kaluza Klein Formulas

Reviews

The book is a refreshing exposition of what is not known: The reader will come away feeling that general relativity has many exciting aspects to it just waiting to be discovered.
*Physics Today*