Highly damped quasinormal modes of Kerr black holes: A complete numerical investigation

Emanuele Berti, Vitor Cardoso, Shijun Yoshida

Research output: Contribution to journalArticle

80 Citations (Scopus)

Abstract

We compute for the first time very highly damped quasinormal modes of the (rotating) Kerr black hole. Our numerical technique is based on a decoupling of the radial and angular equations, performed using a large-frequency expansion for the angular separation constant [Formula Presented] This allows us to go much further in overtone number than ever before. We find that the real part of the quasinormal frequencies approaches a nonzero constant value which does not depend on the spin s of the perturbing field or on the angular index l: [Formula Presented] We numerically compute [Formula Presented] Leading-order corrections to the asymptotic frequency are likely to be [Formula Presented] The imaginary part grows without bound, the spacing between consecutive modes being a monotonic function of a.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume69
Issue number12
DOIs
Publication statusPublished - 2004 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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