Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 31, Issue 24, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/31/24/245011
Keywords
higher-dimensional; quasinormal mode; black hole: Myers-Perry; stability: classical
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Funding
- John Templeton Foundation
- ERC Starting Grant [240210-String-QCD-BH, DyBHo-256667]
- NSF [PHY12-05500]
- STFC [ST/K005391/1, ST/L000385/1, ST/J000434/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000385/1, ST/J000434/1, ST/K005391/1] Funding Source: researchfish
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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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