Linear perturbations of black holes: stability, quasi-normal modes and tails
| dc.creator | Zhidenko, Alexander | |
| dc.date | 2009-03-20 | |
| dc.date | 2009-05-26 | |
| dc.date.accessioned | 2026-07-07T13:17:43Z | |
| dc.date.available | 2026-07-07T13:17:43Z | |
| dc.description | Black holes have their proper oscillations, which are called the quasi-normal modes. The proper oscillations of astrophysical black holes can be observed in the nearest future with the help of gravitational wave detectors. Quasi-normal modes are also very important in the context of testing of the stability of black objects, the anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence and in higher dimensional theories, such as the brane-world scenarios and string theory. This dissertation reviews a number of works, which provide a thorough study of the quasi-normal spectrum of a wide class of black holes in four and higher dimensions for fields of various spin and gravitational perturbations. We have studied numerically the dependance of the quasi-normal modes on a number of factors, such as the presence of the cosmological constant, the Gauss-Bonnet parameter or the aether in the space-time, the dependance of the spectrum on parameters of the black hole and fields under consideration. By the analysis of the quasi-normal spectrum, we have studied the stability of higher dimensional Reissner-Nordstrom-de Sitter black holes, Kaluza-Klein black holes with squashed horizons, Gauss-Bonnet black holes and black strings. Special attention is paid to the evolution of massive fields in the background of various black holes. We have considered their quasi-normal ringing and the late-time tails. In addition, we present two new numerical techniques: a generalisation of the Nollert improvement of the Frobenius method for higher dimensional problems and a qualitatively new method, which allows to calculate quasi-normal frequencies for black holes, which metrics are not known analytically. | |
| dc.description | PhD thesis, IFUSP, Sao Paulo, May 12, 2009, 100 pages, PDFLaTex, English and Portuguese versions | |
| dc.identifier | https://arxiv.org/abs/0903.3555 | |
| dc.identifier | http://arxiv.org/abs/0903.3555 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231203 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Linear perturbations of black holes: stability, quasi-normal modes and tails | |
| dc.type | text |