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Physical Review D

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Gravitational stability of simply rotating Myers-Perry black holes: Tensorial perturbations

R. A. Konoplya^†

Alexander Zhidenko^‡

Cosmophysics Group, IPNS, KEK, and the Graduate University of Advanced Studies, 1-1 Oho, Tsukuba 305-0801, Japan

Department of Physics, Kyoto University, Kyoto 606-8501, Japan and Theoretical Astrophysics, Eberhard-Karls University of Tübingen, Tübingen 72076, Germany

Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970, São Paulo-SP, Brazil

^*Hideo.Kodama@kek.jp
^†konoplya_roma@yahoo.com
^‡zhidenko@fma.if.usp.br

Phys. Rev. D 81, 044007 – Published 4 February, 2010

DOI: https://doi.org/10.1103/PhysRevD.81.044007

Abstract

We study the stability of $D \geq 7$ asymptotically flat black holes rotating in a single two-plane against tensor-type gravitational perturbations. The extensive search of quasinormal modes for these black holes did not indicate any presence of growing modes, implying the stability of simply rotating Myers-Perry black holes against tensor-type perturbations.

Article Text

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