Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole

Vitor Cardoso, José P.S. Lemos, Shijun Yoshida

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

We calculate the quasinormal modes (QNMs) for gravitational perturbations of the Schwarzschild black hole in the five dimensional (5D) spacetime with a continued fraction method. For all the types of perturbations (scalar-gravitational, vector-gravitational, and tensor-gravitational perturbations), the QNMs associated with l = 2, l = 3, and l = 4 are calculated. Our numerical results are summarized as follows: (i) The three types of gravitational perturbations associated with the same angular quantum number l have a different set of the quasinormal (QN) frequencies; (ii) There is no purely imaginary frequency mode; (iii) The three types of gravitational perturbations have the same asymptotic behavior of the QNMs in the limit of the large imaginary frequencies, which are given by ωTH -1 → log 3 + 2πi(n + 1/2) as n → ∞, where ω, TH, and n are the oscillation frequency, the Hawking temperature of the black hole, and the mode number, respectively.

Original languageEnglish
Pages (from-to)957-970
Number of pages14
JournalJournal of High Energy Physics
Volume7
Issue number12
DOIs
Publication statusPublished - 2003 Dec 1
Externally publishedYes

Keywords

  • Black Holes
  • Classical Theories of Gravity

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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