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Type: Artigo de periódico
Title: Conformal Klein-Gordon equations and quasinormal modes
Author: da Rocha, R
de Oliveira, EC
Abstract: 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.
Subject: de Sitter spacetime
quasinormal modes
gravitational waves
conformal structures
d'Alembert equation
projective relativity
Country: EUA
Editor: Springer/plenum Publishers
Rights: fechado
Identifier DOI: 10.1007/s10773-006-9238-5
Date Issue: 2007
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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