Stability and quasinormal modes of the massive scalar field around Kerr black holes

R. A. Konoplya and A. V. Zhidenko
Phys. Rev. D 73, 124040 – Published 29 June 2006

Abstract

In this paper, we find quasinormal spectrum of the massive scalar field in the background of the Kerr black holes. We show that all found modes are damped under the quasinormal modes boundary conditions when μM1, thereby implying stability of the massive scalar field. This complements the region of stability determined by the Beyer inequality for large masses of the field. We show that, similar to the case of a nonrotating black hole, the massive term of the scalar field does not contribute in the regime of high damping. Therefore, the high damping asymptotic should be the same as for the massless scalar field.

  • Figure
  • Figure
  • Received 1 May 2006

DOI:https://doi.org/10.1103/PhysRevD.73.124040

©2006 American Physical Society

Authors & Affiliations

R. A. Konoplya* and A. V. Zhidenko

  • Instituto de Física, Universidade de São Paulo, C.P. 66318, 05315-970, São Paulo-SP, Brazil

  • *Electronic address: konoplya@fma.if.usp.br
  • Electronic address: zhidenko@fma.if.usp.br

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Issue

Vol. 73, Iss. 12 — 15 June 2006

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