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

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

doi:10.1103/PhysRevD.70.124032

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

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

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

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.

Original language	English
Article number	124032
Pages (from-to)	124032-1-124032-7
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	70
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.70.124032
Publication status	Published - 2004 Dec
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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title = "Quasinormal modes and stability of the rotating acoustic black hole: Numerical analysis",

abstract = "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.",

author = "Vitor Cardoso and Lemos, {Jos{\'e} P.S.} and Shijun Yoshida",

note = "Funding Information: This work was partially funded by Funda{\c c}{\~a}o para a Ci{\^e}ncia e Tecnologia (FCT)–Portugal through project CERN/FNU/43797/2001. V. C. acknowledges financial support from FCT through grant SFRH/BPD/2003. S. Y. is supported by the Grant-in-Aid for the 21st Century COE “Holistic Research and Education Center for Physics of Self-organization Systems” from the ministry of Education, Science, Sports, Technology, and Culture of Japan.",

year = "2004",

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doi = "10.1103/PhysRevD.70.124032",

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journal = "Physical review D: Particles and fields",

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AU - Cardoso, Vitor

AU - Lemos, José P.S.

AU - Yoshida, Shijun

N1 - Funding Information: This work was partially funded by Fundação para a Ciência e Tecnologia (FCT)–Portugal through project CERN/FNU/43797/2001. V. C. acknowledges financial support from FCT through grant SFRH/BPD/2003. S. Y. is supported by the Grant-in-Aid for the 21st Century COE “Holistic Research and Education Center for Physics of Self-organization Systems” from the ministry of Education, Science, Sports, Technology, and Culture of Japan.

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AB - 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.

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

Abstract

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