The mathematical theory of black holes
Abstract
A detailed treatment of the mathematical theory of black holes is presented. The analytical methods on which the theory is based are reviewed, and a space-time of sufficient generality to encompass the different situations arising in the study of black holes is developed. The Schwarzschild space-time and the perturbations of the Schwarzschild black hole are addressed. The Reissner-Nordstrom solution, the Kerr metric, geodesics in Kerr space-time, electromagnetic waves in Kerr geometry, gravitational perturbations of the Kerr black hole, and spin-1/2 particles in Kerr geometry are discussed. Other solution and methods are examined.
- Publication:
-
The International Series of Monographs on Physics
- Pub Date:
- 1983
- Bibcode:
- 1983mtbh.book.....C
- Keywords:
-
- Analysis (Mathematics);
- Black Holes (Astronomy);
- Differential Geometry;
- Space-Time Functions;
- Dirac Equation;
- Einstein Equations;
- Electromagnetic Radiation;
- Field Theory (Physics);
- Gauge Theory;
- Geodesic Lines;
- Gravitational Effects;
- Kerr Effects;
- Lie Groups;
- Maxwell Equation;
- Particle Spin;
- Particle Theory;
- Perturbation Theory;
- Reissner-Nordstrom Solution;
- Riemann Manifold;
- Schwarzschild Metric;
- Tensor Analysis;
- Astrophysics;
- BLACK HOLES;
- KERR BLACK HOLE;
- THEORY;
- MATHEMATICS;
- BLACK HOLES (ASTRONOMY): MATHEMATICS;
- KERR BLACK HOLES;
- SPACE AND TIME: MATHEMATICS