https://doi.org/10.1140/epjp/s13360-024-05822-8
Regular Article
Exploring regular black holes within the framework of the TFD formalism
1
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-100, Juiz de Fora, Minas Gerais, Brazil
2
Programa de Pós-Graduação em Física, Instituto de Física, Universidade Federal de Mato Grosso, Cuiabá, Brasil
b
alesandroferreira@fisica.ufmt.br
Received:
11
July
2024
Accepted:
10
November
2024
Published online:
23
November
2024
In this paper, a massive scalar field non-minimally coupled with gravity is considered. Assuming a regular and spherically symmetric background, specifically a regular black hole solution, the energy-momentum tensor is calculated. Using the thermofield dynamics formalism and its topological structure, the corresponding Stefan–Boltzmann law and Casimir effect are investigated. The results for the regular Bardeen and Hayward black holes are compared with those obtained for the Schwarzschild black hole.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
