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Phys. Rev. D 70, 124032 (2004) [7 pages]

Quasinormal modes and stability of the rotating acoustic black hole: Numerical analysis

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Vitor Cardoso*
Centro de Física Computacional, Universidade de Coimbra, P-3004-516 Coimbra, Portugal

José P. S. Lemos
Centro Multidisciplinar de Astrofísica - CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal

Shijun Yoshida
Science and Engineering, Waseda University, Okubo, Shinjuku, Tokyo 169-8555, Japan

Received 19 October 2004; published 27 December 2004

The study of the quasinormal modes (QNMs) of the 2+1 dimensional rotating draining bathtub acoustic black hole, the closest analogue found so far to the Kerr black hole, is performed. Both the real and imaginary parts of the quasinormal (QN) frequencies as a function of the rotation parameter B are found through a full nonlinear numerical analysis. Since there is no change in sign in the imaginary part of the frequency as B is increased we conclude that the 2+1 dimensional rotating draining bathtub acoustic black hole is stable against small perturbations.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.124032
DOI:
10.1103/PhysRevD.70.124032
PACS:
04.70.–s

*Electronic address: vcardoso@teor.fis.uc.pt

Electronic address: lemos@fisica.ist.utl.pt

Electronic address: shijun@waseda.jp