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

H. S. Vieira

doi:10.1088/1674-1137/41/4/043105

Chinese Physics C> 2017, Vol. 41> Issue(4) : 043105 DOI: 10.1088/1674-1137/41/4/043105

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

H. S. Vieira ^1,2,,

1.
Departamento de Fí
2.
Centro de Ciê

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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.
- draining bathtub fluid flow ,
- disclination ,
- topological defect ,
- massless Klein-Gordon equation ,
- confluent Heun function ,
- black hole radiation

References

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2016-11-24

Available Online: 2017-04-05

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

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