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Thermal Casimir effect in the Kerr spacetime with quintessence

V. B. Bezerra

Departamento de Física, Universidade Federal da Paraíba João Pessoa, PB, Caixa Postal 5008, CEP 58051-970, Brazil

E-mail Address: valdir@fisica.ufpb.br

Corresponding author.

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and

J. M. Toledo

Departamento de Física, Universidade Federal da Paraíba João Pessoa, PB, Caixa Postal 5008, CEP 58051-970, Brazil

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https://doi.org/10.1142/S0217732319501256Cited by:0 (Source: Crossref)

Abstract

We calculate thermal corrections to the Casimir energy of a massless scalar field in the Kerr black hole surrounded by quintessence, taking into account the metrics derived by Ghosh [S. G. Ghosh, Eur. Phys. J. C76, 222 (2016)] and Toshmatov et al. [B. Toshmatov, Z. Stuchlík and B. Ahmedov, Eur. Phys. J. Plus132, 98 (2017)]. We compare both results and show that they are almost the same, except very close to the horizons. At $𝜃 = π / 2$ , equatorial plane, the results are the same, as should be expected, due to the fact that the metrics coincide in this region.

Keywords:

PACS: 04.62.+v, 04.70.Bw

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