Thermodynamics and phase transition of spherically symmetric black hole in de Sitter space from Rényi statistics
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Author list: Tannukij L., Wongjun P., Hirunsirisawat E., Deesuwan T., Promsiri C.
Publisher: American Physical Society
Publication year: 2020
Journal: Physical Review D (particles, fields, gravitation, and cosmology) (2470-0010)
Volume number: 135
Issue number: 6
ISSN: 2470-0010
eISSN: 2470-0029
Languages: English-Great Britain (EN-GB)
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Abstract
Schwarzschild black holes in a de Sitter background are studied in terms of their thermodynamics based on the Rényi statistics. This leads to thermodynamically stable black hole configurations for some certain range of black hole radii; namely, within this range the corresponding black holes have positive heat capacity. Moreover, for a certain background temperature there can exist at most three configurations of black hole, one among which is thermodynamically stable. These configurations are investigated in terms of their free energies, resulting in the moderate-sized stable black hole configuration being the most preferred configuration. Furthermore, a specific condition on the Rényi non-extensive parameter is required if a given hot spacetime were to evolve thermally into the moderate-sized stable black hole. © 2020, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
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