Finster, Felix and Kamran, N. and Smoller, J. and Yau, S.-T. (2002) Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 230 (2). pp. 201-244. ISSN 0010-3616
Full text not available from this repository.Abstract
The Cauchy problem is considered for the massive Dirac equation in the non-extreme Keff-Newman geometry, for smooth initial data with compact support outside the event horizon and bounded angular momentum. We prove that the Dirac wave function decays in L-loc(infinity) at least at the rate t(-5/6). For generic initial data, this rate of decay is sharp. We derive a formula for the probability p that the Dirac particle escapes to infinity. For various conditions on the initial data, we show that p = 0, 1 or 0 < p < The proofs are based on a refined analysis of the Dirac propagator constructed in [4].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RELATIVISTIC GRAVITATIONAL COLLAPSE; NONSPHERICAL PERTURBATIONS; SCALAR FIELDS; SCHWARZSCHILD; STABILITY; TAILS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Aug 2021 14:55 |
| Last Modified: | 26 Aug 2021 14:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39808 |
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