The Mathematical Theory of Black Holes [Paperback]

This volume has become one of the modern classics of relativity theory. When it was written in 1983 there was little physical evidence for the existence of black holes. Recent discoveries have only served to underscore the elegant theory developed here, and the book remains one of the clearest statements of the relevant mathematics.

1. Mathematical preliminaries
2. A space-time of sufficient generality
3. The Schwarzchild space-time
4. The perturbations of the Schwarzchild black hole
5. The Reissner-Nordstrom solution
6. The Kerr metric
7. The geodesics in the Kerr space-time
8. Electromagnetic waves in Kerr geometry
9. The gravitational perturbations of the Kerr black hole
10. Spin-1/2 particles in Kerr geometry
11. Other solutions
12. Other methods

There is no doubt in my mind that this book is a masterpiece. . .beautifully written and well-presented. --Roger Penrose inNature