Scalar perturbations of Kerr-AdS black holes

被引：38

作者：

Uchikata, Nami ^{[1
]}

Yoshida, Shijun ^{[1
]}

Futamase, Toshifumi ^{[1
]}

机构：

[1] Tohoku Univ, Astron Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan

来源：

PHYSICAL REVIEW D | 2009年 / 80卷 / 08期

关键词：

QUASI-NORMAL MODES;

D O I：

10.1103/PhysRevD.80.084020

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We numerically study the scalar perturbation of a rotating black hole in anti-de Sitter spacetime (Kerr-AdS black hole). It is found that small Kerr-AdS black holes characterized by r(+) less than or similar to 0.16l are unstable against scalar perturbations via the superradiant amplification mechanism for some rotation rates, where r(+) and l stand, respectively, for the radial coordinate value of the black hole event horizon in the Boyer-Lindquist coordinates and the cosmological length-scale, defined by l = (3/Lambda)(1/2). Here Lambda is the (negative) cosmological constant.

引用

页数：7

共 19 条

[1]

BERTI E, ARXIV09052975

[2] Breit-Wigner resonances and the quasinormal modes of anti-de Sitter black holes [J].

Berti, Emanuele ;

Cardoso, Vitor ;

Pani, Paolo .

PHYSICAL REVIEW D, 2009, 79 (10)

[3]

Cardoso V, 2004, PHYS REV D, V70, DOI [10.1103/PhysRevD.70.044039, 10.1103/PhysRevD.70.049903]

[4] Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study of the overtone asymptotic behavior [J].

Cardoso, V ;

Konoplya, R ;

Lemos, JPS .

PHYSICAL REVIEW D, 2003, 68 (04)

[5] Classical instability of Kerr-AdS black holes and the issue of final state [J].

Cardoso, Vitor ;

Dias, Oscar J. C. ;

Yoshida, Shijun .

PHYSICAL REVIEW D, 2006, 74 (04)

[6]

Carter B., 1968, Communications in Mathematical Physics, V10, P280

[7]

Chandrasekhar S., 1998, The Mathematical Theory of Black Holes

[8] COMPUTATION ASPECTS OF 3-TERM RECURRENCE RELATIONS [J].

GAUTSCHI, W .

SIAM REVIEW, 1967, 9 (01) :24-&

[9] The first law of thermodynamics for Kerr-anti-de Sitter black holes [J].

Gibbons, GW ;

Perry, MJ ;

Pope, CN .

CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (09) :1503-1526

[10] Quasinormal modes of AdS black holes and the approach to thermal equilibrium [J].

Horowitz, GT ;

Hubeny, VE .

PHYSICAL REVIEW D, 2000, 62 (02) :11

← 1 2 →