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Alternative entropies and consistent black hole thermodynamics
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Alternative entropies and consistent black hole thermodynamics
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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.
Forward citations
Cited by 8 Pith papers
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Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
Generalized horizon-entropy models are cosmologically viable only within a narrow window around the Bekenstein–Hawking area law; all surviving models mimic ΛCDM.
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Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics
Tsallis entropy for RN black holes produces three thermodynamic branches with mean-field phase transitions whose signatures appear in photon-sphere optical observables.
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On Accretion and Neutrino Investigations of Thermodynamically Reconstructed Black Holes from Three-Parameter Generalized Entropy
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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Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
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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Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics
Tsallis statistics applied to Reissner-Nordström black holes yields a generalized entropy leading to Van der Waals-like phase transitions whose critical behavior is reflected in photon-sphere observables.
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Photon Spheres and shadow of modified black-hole entropies
Modified black hole entropies alter photon sphere radii and shadow sizes, with parameters constrained by Event Horizon Telescope observations of Sgr A*.
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Photon Spheres and shadow of modified black-hole entropies
Entropy corrections to black holes produce modified metrics whose photon-sphere and shadow sizes can be constrained by Sgr A* observations.
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Photon Spheres and shadow of modified black-hole entropies
Corrected black hole entropies produce distinct shifts in photon sphere radius and shadow size that are constrained by Event Horizon Telescope data on Sagittarius A*.
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