### Abstract

We study the dynamical stability of Myers-Perry black holes with single rotation parameter. We derived the gravitational perturbation equation of the most symmetric mode, which is given by a system of partial differential equations. We solve the partial differential equations by the relaxation method and find the marginally stable modes in d = 6, 7 dimensions. This result indicates not only the instability of Myers-Perry black holes with a large angular momentum, but also the existence of a sequence of new black hole solutions in d ≥ 6 dimensions.

Original language | English |
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Title of host publication | Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 |

Pages | 243-246 |

Number of pages | 4 |

Publication status | Published - Dec 1 2009 |

Externally published | Yes |

Event | 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo, Japan Duration: Nov 30 2009 → Dec 4 2009 |

### Other

Other | 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 |
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Country | Japan |

City | Tokyo |

Period | 11/30/09 → 12/4/09 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009*(pp. 243-246)

**Dynamical instability of ultra-spinning myers-perry black holes.** / Murata, Keiju; Tanahashi, Norihiro; Tanaka, Takahiro.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009.*pp. 243-246, 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan, 11/30/09.

}

TY - GEN

T1 - Dynamical instability of ultra-spinning myers-perry black holes

AU - Murata, Keiju

AU - Tanahashi, Norihiro

AU - Tanaka, Takahiro

PY - 2009/12/1

Y1 - 2009/12/1

N2 - We study the dynamical stability of Myers-Perry black holes with single rotation parameter. We derived the gravitational perturbation equation of the most symmetric mode, which is given by a system of partial differential equations. We solve the partial differential equations by the relaxation method and find the marginally stable modes in d = 6, 7 dimensions. This result indicates not only the instability of Myers-Perry black holes with a large angular momentum, but also the existence of a sequence of new black hole solutions in d ≥ 6 dimensions.

AB - We study the dynamical stability of Myers-Perry black holes with single rotation parameter. We derived the gravitational perturbation equation of the most symmetric mode, which is given by a system of partial differential equations. We solve the partial differential equations by the relaxation method and find the marginally stable modes in d = 6, 7 dimensions. This result indicates not only the instability of Myers-Perry black holes with a large angular momentum, but also the existence of a sequence of new black hole solutions in d ≥ 6 dimensions.

UR - http://www.scopus.com/inward/record.url?scp=84887418536&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887418536&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887418536

SP - 243

EP - 246

BT - Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009

ER -