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Equilibrium Temperature for Black Holes with Nonextensive Entropy

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arxiv 2208.04473 v2 pith:6Q5XLV7V submitted 2022-08-09 gr-qc

classification gr-qc
keywords temperatureentropyequilibriumnonextensivehawkingblackentropiesassociated
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Hawking temperature has been widely utilised in the literature as the temperature that corresponds to various nonextensive entropies. In this study, we analyze the compatibility of the Hawking temperature with the nonextensive entropies. We demonstrate that, for every nonextensive entropy, one may define an effective temperature (which we call equilibrium temperature) by utilizing the equilibrium condition, and that there is always an additive equilibrium entropy associated with this effective temperature. Except for Bekenstein entropy, we show that Hawking temperature is thermodynamically inconsistent with other nonextensive entropies. We focus on the equilibrium requirement for the Tsallis-Cirto black hole entropy and demonstrate that the Bekenstein-Hawking entropy is the related equilibrium entropy, and the Hawking temperature is the associated equilibrium temperature for the Tsallis-Cirto black hole 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. Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Observational constraints pin the MHR entropy exponent to |m−1|≲10⁻⁴ when γ is fixed, and Bayesian evidence disfavors all tested horizon-entropy extensions relative to ΛCDM.

  2. Bounded compactness from G(E)UP

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The generalized uncertainty principle bounds the compactness of any object much heavier than the Planck mass by about 1/α, and the existence of black holes forces the GUP parameter to satisfy α ≲ 2.

  3. 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.

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