Analytic solutions in the acoustic black hole analogue of the conical Kerr metric

  • We study the sound perturbation of a rotating acoustic black hole in the presence of a disclination. The radial part of the massless Klein-Gordon equation is written into a Heun form, and its analytical solution is obtained. These solutions have an explicit dependence on the parameter of the disclination. We obtain the exact Hawking-Unruh radiation spectrum.
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H. S. Vieira. Analytic solutions in the acoustic black hole analogue of the conical Kerr metric[J]. Chinese Physics C, 2017, 41(4): 043105. doi: 10.1088/1674-1137/41/4/043105
H. S. Vieira. Analytic solutions in the acoustic black hole analogue of the conical Kerr metric[J]. Chinese Physics C, 2017, 41(4): 043105.  doi: 10.1088/1674-1137/41/4/043105 shu
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Received: 2016-11-24
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    Supported by Conselho Nacional de Desenvolvimento Cientfico e Tecnolgico (140612/2014-9)

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Analytic solutions in the acoustic black hole analogue of the conical Kerr metric

    Corresponding author: H. S. Vieira,
  • 1. Departamento de Fí
  • 2. Centro de Ciê
Fund Project:  Supported by Conselho Nacional de Desenvolvimento Cientfico e Tecnolgico (140612/2014-9)

Abstract: We study the sound perturbation of a rotating acoustic black hole in the presence of a disclination. The radial part of the massless Klein-Gordon equation is written into a Heun form, and its analytical solution is obtained. These solutions have an explicit dependence on the parameter of the disclination. We obtain the exact Hawking-Unruh radiation spectrum.

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