Spectral Analysis of Radial Dirac Operators in the Kerr-Newman Metric and its Applications to Time-periodic Solutions
| dc.creator | Winklmeier, Monika | |
| dc.creator | Yamada, Osanobu | |
| dc.date | 2006-05-30 | |
| dc.date | 2006-10-27 | |
| dc.date.accessioned | 2026-07-07T11:26:24Z | |
| dc.date.available | 2026-07-07T11:26:24Z | |
| dc.description | We investigate the existence of time-periodic solutions of the Dirac equation in the Kerr-Newman background metric. To this end, the solutions are expanded in a Fourier series with respect to the time variable $t$ and the Chandrasekhar separation ansatz is applied so that the question of existence of a time-periodic solution is reduced to the solvability of a certain coupled system of ordinary differential equations. First, we prove the already known result that there are no time-periodic solutions in the non-extreme case. Then it is shown that in the extreme case for fixed black hole data there is a sequence of particle masses $(m_N)_{N\in\mathbb N}$ for which a time-periodic solution of the Dirac equation does exist. The period of the solution depends only on the data of the black hole described by the Kerr-Newman metric. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0605146 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0605146 | |
| dc.identifier | J.Math.Phys.47:102503,2006 | |
| dc.identifier | doi:10.1063/1.2358394 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/195815 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Spectral Analysis of Radial Dirac Operators in the Kerr-Newman Metric and its Applications to Time-periodic Solutions | |
| dc.type | text |