2016/03/31 by H. S. Vieira, V. B. Bezerra
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1016/j.aop.2016.06.016
published as Annals of Physics 373 (2016) 28-42 · 18 pages. This paper was unified and published with arXiv:1603.02240
arxiv created 2016/07/27 · arxiv updated 2016/07/28
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-Nordström 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.