Evolution of perturbations of squashed Kaluza-Klein black holes: Escape from instability

被引：79

作者：

Ishihara, Hideki ^{[1
]}

Kimura, Masashi ^{[1
]}

Konoplya, Roman A. ^{[2
]}

Murata, Keiju ^{[2
]}

Soda, Jiro ^{[2
,3
]}

Zhidenko, Alexander ^{[4
]}

机构：

[1] Osaka City Univ, Grad Sch Sci, Dept Math & Phys, Osaka 5588585, Japan

[2] Kyoto Univ, Dept Phys, Kyoto 6068501, Japan

[3] Kavli Inst Theoret Phys, Beijing 100080, Peoples R China

[4] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil

来源：

PHYSICAL REVIEW D | 2008年 / 77卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.77.084019

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild black holes with asymptotic flatness or the black strings even at energies for which the KK modes are not excited yet, so that squashed KK black holes open a window in higher dimensions. Another important feature is that the squashed KK black holes are apparently stable and, thereby, let us avoid the Gregory-Laflamme instability. In the present paper, the evolution of scalar and gravitational perturbations in time and frequency domains is considered for these squashed KK black holes. The scalar field perturbations are analyzed for general rotating squashed KK black holes. Gravitational perturbations for the so-called zero mode are shown to be decayed for nonrotating black holes, in concordance with the stability of the squashed KK black holes. The correlation of quasinormal frequencies with the size of extra dimension is discussed.

引用

页数：7

共 66 条

[1] Scalar field evolution in Gauss-Bonnet black holes [J].

Abdalla, E ;

Konoplya, RA ;

Molina, C .

PHYSICAL REVIEW D, 2005, 72 (08)

[2] 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

[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]

Banks T, ARXIVHEPTH9906038

[5] Asymptotic quasinormal frequencies of d-dimensional Schwarzschild black holes [J].

Birmingham, D .

PHYSICS LETTERS B, 2003, 569 (3-4) :199-203

[6] Kaluza-Klein black holes with squashed horizons and d=4 superposed monopoles [J].

Brihaye, Yves ;

Radu, Eugen .

PHYSICS LETTERS B, 2006, 641 (02) :212-220

[7] Mass and thermodynamics of Kaluza-Klein black holes with squashed horizons [J].

Cai, Rong-Gen ;

Cao, Li-Ming ;

Ohta, Nobuyoshi .

PHYSICS LETTERS B, 2006, 639 (3-4) :354-361

[8] Quasinormal modes of Schwarzschild black holes in four and higher dimensions [J].

Cardoso, V ;

Lemos, JPS ;

Yoshida, S .

PHYSICAL REVIEW D, 2004, 69 (04)

[9] Gravitational radiation in D-dimensional spacetimes -: art. no. 064026 [J].

Cardoso, V ;

Dias, OJC ;

Lemos, JPS .

PHYSICAL REVIEW D, 2003, 67 (06)

[10] Hawking radiation in a rotating Kaluza-Klein black hole with squashed horizons [J].

Chen, Songbai ;

Wang, Bin ;

Su, Rukeng .

PHYSICAL REVIEW D, 2008, 77 (02)

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