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

Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
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摘要 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. 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.
作者 H. S. Vieira
出处 《Chinese Physics C》 SCIE CAS CSCD 2017年第4期33-37,共5页 中国物理C(英文版)
基金 Supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico(140612/2014-9)
关键词 draining bathtub fluid flow DISCLINATION topological defect massless Klein-Gordon equation confluent Heun function black hole radiation draining bathtub fluid flow, disclination, topological defect, massless Klein-Gordon equation, confluent Heun function, black hole radiation
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