Finster, Felix and Kamran, Niky and Smoller, Toel and Yau, Shing-Tung (2009) LINEAR WAVES IN THE KERR GEOMETRY: A MATHEMATICAL VOYAGE TO BLACK HOLE PHYSICS. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 46 (4). pp. 635-659. ISSN 0273-0979, 1088-9485
Full text not available from this repository. (Request a copy)Abstract
This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave equations for fields of general spin s = 0, 1/2, 1, 2, corresponding to scalar, Dirac, electromagnetic fields and linearized gravitational waves. We give results on the long-time dynamics of Dirac and scalar waves, including decay rates for massive Dirac fields. For scalar waves, we give a rigorous treatment of superradiance and describe rigorously a mechanism of energy extraction from a rotating black hole. Finally, we discuss the open problem of linear stability of the Kerr metric and present partial results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RIEMANNIAN PENROSE INEQUALITY; TIME-PERIODIC SOLUTIONS; SCHWARZSCHILD GEOMETRY; DIRAC PARTICLES; EQUATION; DECAY; PROOF; NONEXISTENCE; FIELD; PERTURBATIONS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Sep 2020 12:04 |
| Last Modified: | 03 Sep 2020 12:04 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28302 |
Actions (login required)
 |
View Item |
