Exact gravitational quasinormal frequencies of topological black holes

被引：31

作者：

Birmingham, Danny ^{[1
]}

Mokhtari, Susan

机构：

[1] Univ Pacific, Dept Phys, Stockton, CA 95211 USA

[2] Calif State Univ Stanislaus, Dept Phys, Turlock, CA 95380 USA

来源：

PHYSICAL REVIEW D | 2006年 / 74卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.74.084026

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute the exact gravitational quasinormal frequencies for massless topological black holes in d-dimensional anti-de Sitter space. Using the gauge invariant formalism for gravitational perturbations derived by Kodama and Ishibashi, we show that in all cases the scalar, vector, and tensor modes can be reduced to a simple scalar field equation. This equation is exactly solvable in terms of hypergeometric functions, thus allowing an exact analytic determination of the gravitational quasinormal frequencies.

引用

页数：7

共 42 条

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Abramowitz M., 1970, HDB MATH FUNCTIONS

[2] Quasinormal modes for massless topological black holes -: art. no. 044014 [J].