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Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves

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arxiv 1603.02233 v2 pith:IABMKK3Y submitted 2016-03-07 gr-qc

Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves

H. S. Vieira , V. B. Bezerra This is my paper
classification gr-qc
keywords blackfrequencieshawkingholeradiationresonantscatteringconfluent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We apply the confluent Heun functions to study the resonant frequencies (quasispectrum), the Hawking radiation and the scattering process of scalar waves, in a class of spacetimes, namely, the ones generated by a Kerr-Newman-Kasuya spacetime (dyon black hole) and a Reissner-Nordstr\"{o}m black hole surrounded by a magnetic field (Ernst spacetime). In both spacetimes, the solutions for the angular and radial parts of the corresponding Klein-Gordon equations are obtained exactly, for massive and massless fields, respectively. The special cases of Kerr and Schwarzschild black holes are analyzed and the solutions obtained, as well as in the case of a Schwarzschild black hole surrounded by a magnetic field. In all these special situations, the resonant frequencies, Hawking radiation and scattering are studied.

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