Alternative entropies and consistent black hole thermodynamics

While the Bekenstein–Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (Rényi, Tsallis, and generalized constructs) abound in the literature. We explore conditions under which they are part of a consistent horizon t...

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Bibliographic Details
Published inInternational journal of geometric methods in modern physics Vol. 19; no. 13
Main Authors Nojiri, Shin’ichi, Odintsov, Sergei D., Faraoni, Valerio
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 01.11.2022
World Scientific Publishing Co. Pte., Ltd
Subjects
Black holes
Entropy
Research Article
Thermodynamics
modified gravity
entropy
black hole thermodynamics
Black holes
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ISSN0219-8878
1793-6977
DOI10.1142/S0219887822502103

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Summary:While the Bekenstein–Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (Rényi, Tsallis, and generalized constructs) abound in the literature. We explore conditions under which they are part of a consistent horizon thermodynamics for certain classes of modified gravity black holes. We provide examples in which black hole masses and temperatures going hand-in-hand with these alternative entropies coincide with their usual counterparts associated with the Bekenstein–Hawking entropy.
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ISSN:0219-8878
1793-6977
DOI:10.1142/S0219887822502103