Finster, Felix and Kamran, Niky and Smoller, Joel and Yau, Shing-Tung (2003) The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 7 (1). pp. 25-52. ISSN 1095-0761
Full text not available from this repository. (Request a copy)Abstract
We consider the Cauchy problem for the massive Dirac equation in the non extreme Kerr-Newman geometry outside the event horizon. We derive an integral representation for the Dirac propagator involving the solutions of the ODEs which arise in Chandrasekhar's separation of variables. It is proved that for initial data in L-loc(infinity) near the event horizon with L-2 decay at infinity, the probability of the Dirac particle to be in any compact region of space tends to zero as t goes to infinity. This means that the Dirac particle must either disappear in the black hole or escape to infinity.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Aug 2021 13:37 |
| Last Modified: | 24 Aug 2021 13:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39375 |
Actions (login required)
 |
View Item |
