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Quasinormal modes of asymptotically flat rotating black holes

Quasinormal modes of asymptotically flat rotating black holes
Quasinormal modes of asymptotically flat rotating black holes
We study the main properties of general linear perturbations of rotating black holes (BHs) in asymptotically flat higher-dimensional spacetimes. In particular, we determine the quasinormal mode (QNM) spectrum of singly spinning and equal angular momenta Myers–Perry BHs (MP BHs). Emphasis is also given to the timescale of the ultraspinning and bar-mode instabilities in these two families of MP BHs. For the bar-mode instabilities in the singly spinning MP BH, we find excellent agreement with our linear analysis and the nonlinear time evolution of Shibata and Yoshino for d = 6,7 spacetime dimensions. We find that d = 5 singly spinning BHs are linearly stable. In the context of studying general relativity in the large dimension limit, we obtain the QNM spectrum of Schwarzschild BHs and rotating MP BHs for large dimensions. We identify two classes of modes. For large dimensions, we find that in the limit of zero rotation, unstable modes of the MP BHs connect to a class of Schwarzschild QNMs that saturate to finite values.
0264-9381
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Hartnett, Gavin S.
caf84471-46bc-4de4-822b-429586d4db0c
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Hartnett, Gavin S.
caf84471-46bc-4de4-822b-429586d4db0c
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b

Campos Dias, Oscar, Hartnett, Gavin S. and Santos, Jorge E. (2014) Quasinormal modes of asymptotically flat rotating black holes. Classical and Quantum Gravity, 31 (24), [245011]. (doi:10.1088/0264-9381/31/24/245011).

Record type: Article

Abstract

We study the main properties of general linear perturbations of rotating black holes (BHs) in asymptotically flat higher-dimensional spacetimes. In particular, we determine the quasinormal mode (QNM) spectrum of singly spinning and equal angular momenta Myers–Perry BHs (MP BHs). Emphasis is also given to the timescale of the ultraspinning and bar-mode instabilities in these two families of MP BHs. For the bar-mode instabilities in the singly spinning MP BH, we find excellent agreement with our linear analysis and the nonlinear time evolution of Shibata and Yoshino for d = 6,7 spacetime dimensions. We find that d = 5 singly spinning BHs are linearly stable. In the context of studying general relativity in the large dimension limit, we obtain the QNM spectrum of Schwarzschild BHs and rotating MP BHs for large dimensions. We identify two classes of modes. For large dimensions, we find that in the limit of zero rotation, unstable modes of the MP BHs connect to a class of Schwarzschild QNMs that saturate to finite values.

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More information

Published date: 26 November 2014
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 410177
URI: http://eprints.soton.ac.uk/id/eprint/410177
ISSN: 0264-9381
PURE UUID: af63573b-0f4e-4213-8f33-4c9aba9dbf13
ORCID for Oscar Campos Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 06 Jun 2017 04:02
Last modified: 16 Mar 2024 04:18

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Contributors

Author: Gavin S. Hartnett
Author: Jorge E. Santos

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