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

Abstract

Abstract. 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. Confluent Heun functions and the physics of black holes2

Scalar resonant frequencies and Hawking effect of anf(R) global monopole

“…a = −0.04769 Once again, we can compare the results obtained with those of Ref. [8]. The RFs, ω n , given by Eq.…”

“…(61) in Ref. [8], increase with quantum number n. Furthermore, this quantity becomes negative in the background under consideration.…”

“…[8] for computing the RFs for massive scalar waves propagating in a Schwarzschild black hole with a global monopole in f (R) gravity.…”

“…One such source of information is the Resonant Frequencies (RFs) emitted by a black hole via its interaction with different fields [8,9].…”

Klein–Gordon particle near RN black hole, generalized sl(2) algebra and harmonic oscillator energy

“…The theoretical studies concerning physical processes which occur in the spacetime surrounding black holes are of special interest. It can certainly help us to understand the physics of these interesting objects which is predicted by general relativity [1]. As we know Reissner and Nordstrom found a similar solution as Schwarzschild, but it was more complicated with two parameters mass M and charge Q.…”