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

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.

6 pages

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Cited by in corpus (3)

• Analytical Solutions in a Cosmic String Born-Infeld-dilaton Black Hole Geometry: Quasinormal Modes and Quantization
• Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime
• Shielding of Penrose superradiance in optical black holes