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Origin of the Reissner-Nordström-de Sitter instability

Origin of the Reissner-Nordström-de Sitter instability
Origin of the Reissner-Nordström-de Sitter instability

We give strong numerical evidence for the existence of an instability afflicting six-dimensional Reissner-Nordström de Sitter (RNdS) black holes. This instability is akin of the Konoplya-Zhidenko instability present in RNdS black holes in seven spacetime dimensions and above. Moreover, we perform a detailed analysis of the near-horizon limit of extremal RNdS black holes, and find that, typically, unstable gravitational modes effectively behave as a massive scalar field whose mass violates the AdS2 Breitenlöhner-Freedman bound (if and only if d≥6), thus providing a physical argument for the existence of the instability. Finally, we show that the frequency spectrum of perturbations of RNdS has a remarkable intricate structure with several bifurcations/mergers that appears unique to RNdS black holes.

hep-th, gr-qc
1550-7998
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274

Campos Dias, Oscar and Santos, Jorge E. (2020) Origin of the Reissner-Nordström-de Sitter instability. Physical Review D, 102 (12), [124039]. (doi:10.1103/PhysRevD.102.124039).

Record type: Article

Abstract

We give strong numerical evidence for the existence of an instability afflicting six-dimensional Reissner-Nordström de Sitter (RNdS) black holes. This instability is akin of the Konoplya-Zhidenko instability present in RNdS black holes in seven spacetime dimensions and above. Moreover, we perform a detailed analysis of the near-horizon limit of extremal RNdS black holes, and find that, typically, unstable gravitational modes effectively behave as a massive scalar field whose mass violates the AdS2 Breitenlöhner-Freedman bound (if and only if d≥6), thus providing a physical argument for the existence of the instability. Finally, we show that the frequency spectrum of perturbations of RNdS has a remarkable intricate structure with several bifurcations/mergers that appears unique to RNdS black holes.

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2005.03673 - Accepted Manuscript
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2005.03673v1
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More information

Accepted/In Press date: 24 November 2020
Published date: 17 December 2020
Additional Information: 24 pages, 17 figures
Keywords: hep-th, gr-qc

Identifiers

Local EPrints ID: 446565
URI: http://eprints.soton.ac.uk/id/eprint/446565
ISSN: 1550-7998
PURE UUID: 57e1034a-ef22-4d7f-804c-60f42b545dec
ORCID for Oscar Campos Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 15 Feb 2021 17:31
Last modified: 03 Sep 2022 01:50

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Author: Jorge E. Santos

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