Pair-production of charged Dirac particles on charged Nariai and ultracold black hole manifolds

Details Pair-production of charged Dirac particles on charged Nariai and ultracold black hole manifolds Pair-production of charged Dirac particles on charged Nariai and ultracold black hole manifolds

2009-06-08

arxiv.org/abs/0906.1520v1

JHEP 0908:028,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages

Scientific paper

10.1088/1126-6708/2009/08/028

Spontaneous loss of charge by charged black holes by means of pair-creation of charged Dirac particles is considered. We provide three examples of exact calculations for the spontaneous discharge process for 4D charged black holes by considering the process on three special non-rotating de Sitter black hole backgrounds, which allow to bring back the problem to a Kaluza-Klein reduction. Both the zeta-function approach and the transmission coefficient approach are taken into account. A comparison between the two methods is also provided, as well as a comparison with WKB results. In the case of non-zero temperature of the geometric background, we also discuss thermal effects on the discharge process.

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