Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation

Abstract

This work considers the influence of the gravitational field produced by a charged and rotating black hole (Kerr-Newman spacetime) on a charged massive scalar field. We obtain exact solutions of both angular and radial parts of the Klein-Gordon equation in this spacetime, which are given in terms of the confluent Heun functions. From the radial solution, we obtain the exact wave solutions near the exterior horizon of the black hole, and discuss the Hawking radiation of charged massive scalar particles.

25 pages

References in corpus (6)

• Temporal contribution to gravitational WKB-like calculations
• Subtleties in the quasi-classical calculation of Hawking radiation
• Thermal radiation of various gravitational backgrounds
• The Klein-Gordon equation in the spacetime of a charged and rotating black hole
• Exact Hawking Radiation of Scalars, Fermions, and Bosons Using the Tunneling Method Without Back-Reaction
• Heun equation, Teukolsky equation, and type-D metrics

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