Resonant frequencies of a charged scalar field in the Garfinkle-Horowitz-Strominger dilaton black hole
2018
We obtain the exact analytical solutions of both angular and radial parts of the Klein-Gordon equation describing a charged massive scalar field in the electrically charged Garfinkle-Horowitz-Strominger dilaton black hole spacetime. These solutions of the angular and radial parts are given in terms of the spherical harmonics and the confluent Heun functions, respectively. Furthermore, we discuss the physical phenomena related to resonant frequencies associated to this field, and also some aspects related to its Hawking radiation. The special case of a Schwarzschild spacetime is also examined.
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