Creation of fermions by rotating charged black-holes
| dc.creator | Häfner, Dietrich | |
| dc.date | 2006-12-18 | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:56:11Z | |
| dc.date.available | 2026-07-07T12:56:11Z | |
| dc.description | This work is devoted to the mathematical study of the Hawking effect for fermions in the setting of the collapse of a rotating charged star. We show that an observer who is located far away from the star and at rest with respect to the Boyer Lindquist coordinates observes the emergence of a thermal state when his proper time goes to infinity. We first introduce a model of the collapse of the star. We suppose that the space-time outside the star is given by the Kerr-Newman metric. The assumptions on the asymptotic behavior of the surface of the star are inspired by the asymptotic behavior of certain timelike geodesics in the Kerr-Newman metric. The Dirac equation is then written using coordinates and a Newman-Penrose tetrad which are adapted to the collapse. This coordinate system and tetrad are based on the so called simple null geodesics. The quantization of Dirac fields in a globally hyperbolic space-time is described. We formulate and prove a theorem about the Hawking effect in this setting. The proof of the theorem contains a minimal velocity estimate for Dirac fields that is slightly stronger than the usual ones and an existence and uniqueness result for solutions of a characteristic Cauchy problem for Dirac fields in the Kerr-Newman space-time. In an appendix we construct explicitly a Penrose compactification of block I of the Kerr-Newman space-time based on simple null geodesics. | |
| dc.description | 139 pages, to appear in Mémoires de la SMF | |
| dc.identifier | https://arxiv.org/abs/math/0612501 | |
| dc.identifier | http://arxiv.org/abs/math/0612501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224498 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Mathematical Physics | |
| dc.title | Creation of fermions by rotating charged black-holes | |
| dc.type | text |