Analytical proof of the isospectrality of quasinormal modes for Schwarzschild-de Sitter and Schwarzschild-Anti de Sitter spacetimes

The deep reason why the equations describing axial and polar perturbations of Schwarzschild black holes have the same spectrum is far from trivial. In this article, we revisit the original proof and try to make it clearer. Still focusing on uncharged and non-rotating black holes, we extend the resul...

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Veröffentlicht in:Gen.Rel.Grav 2020, Vol.52 (8), Article 82
Hauptverfasser: Moulin, Flora, Barrau, Aurélien
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description The deep reason why the equations describing axial and polar perturbations of Schwarzschild black holes have the same spectrum is far from trivial. In this article, we revisit the original proof and try to make it clearer. Still focusing on uncharged and non-rotating black holes, we extend the results to spacetimes including a cosmological constant, which have so far mostly been investigated numerically from this perspective.
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subjects Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Cosmological constant
Differential Geometry
General Relativity and Quantum Cosmology
Gravity
High Energy Physics - Theory
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Spacetime
Theoretical
title Analytical proof of the isospectrality of quasinormal modes for Schwarzschild-de Sitter and Schwarzschild-Anti de Sitter spacetimes
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