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Alternative entropies and consistent black hole thermodynamics

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arxiv 2207.07905 v1 pith:JXKOVNUY submitted 2022-07-16 gr-qc

Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni This is my paper · ORCID
classification gr-qc
keywords blackentropyalternativeconsistentholethermodynamicsbekenstein-hawkingentropies
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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 (R\'enyi, 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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Black Hole Thermodynamics via Tsallis Statistical Mechanics

    gr-qc 2025-02 conditional novelty 6.0 of 10

    The authors derive a q-modified black hole entropy from Tsallis statistics applied to a near-horizon gas and show that a negative non-extensive parameter can stabilize a Schwarzschild black hole.

  2. Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Viable generalized horizon entropies from the mass-to-horizon relation are restricted to a narrow neighborhood around the Bekenstein-Hawking law, yielding only Lambda-CDM-like background evolution.

  3. On Accretion and Neutrino Investigations of Thermodynamically Reconstructed Black Holes from Three-Parameter Generalized Entropy

    gr-qc 2026-07 conditional novelty 4.0 of 10

    A generalized-entropy black-hole model with horizon temperature fixed by entropy predicts sign-controlled ISCO, shadow, and efficiency shifts, but relies on an arbitrary exterior profile p.

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