Otro
Conformal Klein-Gordon equations and quasinormal modes
Registro en:
International Journal of Theoretical Physics. New York: Springer/plenum Publishers, v. 46, n. 2, p. 301-317, 2007.
0020-7748
10.1007/s10773-006-9238-5
WOS:000244591000009
Autor
da Rocha, R.
de Oliveira, E. Capelas
Resumen
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.