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Strong cosmic censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions

Strong cosmic censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions
Strong cosmic censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions
It has been established that Christodoulou’s formulation of Strong Cosmic Censorship (SCC) is violated by Reissner-Nordström-de Sitter black holes, but holds in four-dimensional Kerr-de Sitter black holes. We show that SCC is also respected by equal angular momenta (cohomogeneity-1) Myers-Perry-de Sitter (MP-dS) in odd d ≥ 5 spacetime dimensions. This suggests that the preservation of SCC in rotating backgrounds might be a universal property of Einstein gravity and not limited to the d = 4 Kerr-dS background. As required to discuss SCC in de Sitter spacetimes, we also study important aspects of the scalar field quasinormal mode (QNM) spectra of MP-dS. In particular, we find eigenvalue repulsions similar to those recently observed in the QNM spectra of asymptotically flat Kerr-Newman black holes. For axisymmetric modes (i.e. with azimuthal quantum number m = 0) there are three distinct families of QNM (de Sitter, photon sphere and near-horizon). However, typically, for non-axisymmetric (m ≠ 0) QNMs, we find that the entire spectra can be described by just two families of QNM (since several overtone sections of the photon sphere and near-horizon families merge). For completeness, we also study the full scalar field QNM spectra of higher-dimensional Schwarzschild-de Sitter black holes.
Black Holes, Classical Theories of Gravity
1126-6708
Davey, Alex
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Dias, Oscar J. C.
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Rodgers, Paul
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Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Davey, Alex
9cf6ccc9-de13-47cc-88bb-b25d40c505c1
Dias, Oscar J. C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Rodgers, Paul
458881c5-fb65-497c-8163-8bedfadc55e1
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274

Davey, Alex, Dias, Oscar J. C., Rodgers, Paul and Santos, Jorge E. (2022) Strong cosmic censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions. Journal of High Energy Physics, 2022 (7), [86]. (doi:10.1007/JHEP07(2022)086).

Record type: Article

Abstract

It has been established that Christodoulou’s formulation of Strong Cosmic Censorship (SCC) is violated by Reissner-Nordström-de Sitter black holes, but holds in four-dimensional Kerr-de Sitter black holes. We show that SCC is also respected by equal angular momenta (cohomogeneity-1) Myers-Perry-de Sitter (MP-dS) in odd d ≥ 5 spacetime dimensions. This suggests that the preservation of SCC in rotating backgrounds might be a universal property of Einstein gravity and not limited to the d = 4 Kerr-dS background. As required to discuss SCC in de Sitter spacetimes, we also study important aspects of the scalar field quasinormal mode (QNM) spectra of MP-dS. In particular, we find eigenvalue repulsions similar to those recently observed in the QNM spectra of asymptotically flat Kerr-Newman black holes. For axisymmetric modes (i.e. with azimuthal quantum number m = 0) there are three distinct families of QNM (de Sitter, photon sphere and near-horizon). However, typically, for non-axisymmetric (m ≠ 0) QNMs, we find that the entire spectra can be described by just two families of QNM (since several overtone sections of the photon sphere and near-horizon families merge). For completeness, we also study the full scalar field QNM spectra of higher-dimensional Schwarzschild-de Sitter black holes.

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2203.13830v1 - Accepted Manuscript
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Accepted/In Press date: 7 June 2022
Published date: 14 July 2022
Additional Information: Publisher Copyright: © 2022, The Author(s).
Keywords: Black Holes, Classical Theories of Gravity

Identifiers

Local EPrints ID: 470022
URI: http://eprints.soton.ac.uk/id/eprint/470022
ISSN: 1126-6708
PURE UUID: 33752f0f-b7dd-442a-a401-2227dc434e38
ORCID for Oscar J. C. Dias: ORCID iD orcid.org/0000-0003-4855-4750
ORCID for Paul Rodgers: ORCID iD orcid.org/0000-0002-5348-4956

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Date deposited: 30 Sep 2022 16:42
Last modified: 01 Oct 2022 01:46

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Contributors

Author: Alex Davey
Author: Paul Rodgers ORCID iD
Author: Jorge E. Santos

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