Scalar perturbation of the higher-dimensional rotating black holes

被引:45
作者
Ida, D [1 ]
Uchida, Y
Morisawa, Y
机构
[1] Tokyo Inst Technol, Dept Phys, Tokyo 1528550, Japan
[2] Osaka City Univ, Dept Phys, Osaka 5588585, Japan
来源
PHYSICAL REVIEW D | 2003年 / 67卷 / 08期
关键词
D O I
10.1103/PhysRevD.67.084019
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The massless scalar field in the higher-dimensional Kerr black hole (Myers-Perry solution with a single rotation axis) has been investigated. It was shown that the field equation is separable in arbitrary dimensions. The quasinormal modes of the scalar field were searched in five dimensions using the continued fraction method. The numerical result shows evidence for the stability of the scalar perturbation of five-dimensional Kerr black holes. The time scale of the resonant oscillation in a rapidly rotating black hole, in which case the horizon radius becomes small, is characterized by (black hole mass)(1/2)(Planck mass)(-3/2) rather than the light-crossing time of the horizon.
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页数:6
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共 18 条
[1]   New dimensions at a millimeter to a fermi and superstrings at a TeV [J].
Antoniadis, I ;
Arkani-Hamed, N ;
Dimopoulos, S ;
Dvali, G .
PHYSICS LETTERS B, 1998, 436 (3-4) :257-263
[2]   Black holes and sub-millimeter dimensions [J].
Argyres, PC ;
Dimopoulos, S ;
March-Russell, J .
PHYSICS LETTERS B, 1998, 441 (1-4) :96-104
[3]   The hierarchy problem and new dimensions at a millimeter [J].
Arkani-Hamed, N ;
Dimopoulos, S ;
Dvali, G .
PHYSICS LETTERS B, 1998, 429 (3-4) :263-272
[4]   RESONANT OSCILLATIONS OF A RAPIDLY ROTATING BLACK-HOLE [J].
DETWEILER, S .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 352 (1670) :381-395
[5]   STABILITY OF SCALAR PERTURBATIONS OF A KERR-METRIC BLACK HOLE [J].
DETWEILER, SL ;
IPSER, JR .
ASTROPHYSICAL JOURNAL, 1973, 185 (02) :675-683
[6]   A rotating black ring solution in five dimensions [J].
Emparan, R ;
Reall, HS .
PHYSICAL REVIEW LETTERS, 2002, 88 (10) :4
[7]   Quantum radiation from a 5-dimensional rotating black hole [J].
Frolov, V ;
Stojkovic, D .
PHYSICAL REVIEW D, 2003, 67 (08)
[8]   COMPUTATION ASPECTS OF 3-TERM RECURRENCE RELATIONS [J].
GAUTSCHI, W .
SIAM REVIEW, 1967, 9 (01) :24-&
[9]   Uniqueness of (dilatonic) charged black holes and black p-branes in higher dimensions -: art. no. 044010 [J].
Gibbons, GW ;
Ida, D ;
Shiromizu, T .
PHYSICAL REVIEW D, 2002, 66 (04)
[10]   Uniqueness and nonuniqueness of static black holes in higher dimensions [J].
Gibbons, GW ;
Ida, D ;
Shiromizu, T .
PHYSICAL REVIEW LETTERS, 2002, 89 (04) :1-041101