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

作者：Vieira H S^*

来源：Chinese Physics C, 2017, 41(4): 043105.

DOI：10.1088/1674-1137/41/4/043105

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

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.

• 出版日期2017-4