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 |
|---|---|
| Country/Territory | Japan |
| City | Tokyo |
| Period | 11/30/09 → 12/4/09 |
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics