Phys. Rev. D 66, 044009 (2002) [3 pages]Quasinormal modes of a small Schwarzschild–anti-de Sitter black holeReceived 16 May 2002; published 19 August 2002 We compute the quasinormal modes associated with the decay of the massless scalar field around a small Schwarzschild–anti-de Sitter black hole. The computations show that when the horizon radius is much less than the anti–de Sitter radius, the imaginary part of the frequency goes to zero as r+d-2 while the real part of ω decreases to its minimum and then goes to d-1. Thus the quasinormal modes approach the usual AdS modes in the limit r+→0. This agrees with suggestions of Horowitz and Hubeny [Phys. Rev. D 62, 024027 (2000)]. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.044009
DOI:
10.1103/PhysRevD.66.044009
PACS:
04.70.-s, 04.30.-w, 04.65.+e
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