Journal
ANNALS OF PHYSICS
Volume 373, Issue -, Pages 28-42Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2016.06.016
Keywords
Dyon black hole; Ernst spacetime; Heun's equation; Energy spectrum; Partial wave; Black hole radiation
Categories
Funding
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)
- [140612/2014-9]
- [304553/2010-7]
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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-Nordstrom 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. (C) 2016 Elsevier Inc. All rights reserved.
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