Finster, Felix and Kamran, N. and Smoller, J. and Yau, S. -T. (2009) A Rigorous Treatment of Energy Extraction from a Rotating Black Hole. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 287 (3). pp. 829-847. ISSN 0010-3616, 1432-0916
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The Cauchy problem is considered for the scalar wave equation in the Kerr geometry. We prove that by choosing a suitable wave packet as initial data, one can extract energy from the black hole, thereby putting supperradiance, the wave analogue of the Penrose process, into a rigorous mathematical framework. We quantify the maximal energy gain. We also compute the infinitesimal change of mass and angular momentum of the black hole, in agreement with Christodoulou's result for the Penrose process. The main mathematical tool is our previously derived integral representation of the wave propagator.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | KERR GEOMETRY; WAVE-EQUATION; DECAY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Sep 2020 07:21 |
| Last Modified: | 16 Sep 2020 07:21 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29030 |
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