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Alternative entropies and consistent black hole thermodynamics

Shin’ichi NojiriDepartment of Physics, Nagoya University, Nagoya 464-8602, JapanSergei D. OdintsovInstitució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Lluís Companys 23, 08010 Barcelona, SpainValerio FaraoniDepartment of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, Québec, Canada J1M 1Z7, Canada
2022en
ABI

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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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