Conformal Klein-Gordon equations and quasinormal modes
| dc.creator | da Rocha, Roldao | |
| dc.creator | de Oliveira, E. Capelas | |
| dc.date | 2006-03-20 | |
| dc.date.accessioned | 2026-07-07T11:26:21Z | |
| dc.date.available | 2026-07-07T11:26:21Z | |
| dc.description | Using conformal coordinates associated with conformal relativity -- associated with de Sitter spacetime homeomorphic projection into Minkowski spacetime -- we obtain a conformal Klein-Gordon partial differential equation, which is intimately related to the production of quasi-normal modes (QNMs) oscillations, in the context of electromagnetic and/or gravitational perturbations around, e.g., black holes. While QNMs arise as the solution of a wave-like equation with a Poschl-Teller potential, here we deduce and analytically solve a conformal radial d'Alembert-like equation, from which we derive QNMs formal solutions, in a proposed alternative to more completely describe QNMs. As a by-product we show that this radial equation can be identified with a Schrodinger-like equation in which the potential is exactly the second Poschl-Teller potential, and it can shed some new light on the investigations concerning QNMs. | |
| dc.description | 13 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0603082 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0603082 | |
| dc.identifier | Int.J.Theor.Phys.46:301-317,2007 | |
| dc.identifier | doi:10.1007/s10773-006-9238-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/195800 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Conformal Klein-Gordon equations and quasinormal modes | |
| dc.type | text |