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

Journal Article · Sat Nov 15 00:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.07.011· OSTI ID:22403424

Vieira, H.S., E-mail: [e-mail] ^[1]; Bezerra, V.B., E-mail: [e-mail] ^[1]; Muniz, C.R., E-mail: [e-mail] ^[2]

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1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970, João Pessoa, PB (Brazil)
2. Grupo de Física Teórica (GFT), Universidade Estadual do Ceará, UECE-FECLI, Iguatu, CE (Brazil)

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. - Highlights: • The covariant Klein–Gordon equation for a charged massive scalar field in the Kerr–Newman black hole is solved. • Both angular and radial parts are transformed to a Heun-type equation. • The resulting Hawking radiation spectrum of scalar particles has a thermal character.

• OSTI ID: 22403424
• Journal Information: Annals of Physics (New York), Vol. 350; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
BLACKBODY RADIATION
EXACT SOLUTIONS
GRAVITATIONAL FIELDS
KLEIN-GORDON EQUATION
SCALAR FIELDS
SPACE-TIME
SPECTRA