Article
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Relativistic Correction to Black Hole Entropy
Version 1
: Received: 29 October 2023 / Approved: 30 October 2023 / Online: 30 October 2023 (10:17:55 CET)
How to cite: Kumar, N. Relativistic Correction to Black Hole Entropy. Preprints 2023, 2023101874. https://doi.org/10.20944/preprints202310.1874.v1 Kumar, N. Relativistic Correction to Black Hole Entropy. Preprints 2023, 2023101874. https://doi.org/10.20944/preprints202310.1874.v1
Abstract
In this paper, we study the relativistic correction to Bekenstein-Hawking entropy in the canonical ensemble and isothermal-isobaric ensemble and apply it to the cases of non-rotating BTZ and AdS-Schwarzschild black holes. This is realized by generalizing the equations obtained using Boltzmann-Gibbs(BG) statistics with its relativistic generalization, Kaniadakis statistics, or κ-statistics. The relativistic corrections are found to be logarithmic in nature and it is observed that their effect becomes appreciable only in the high-temperature limit suggesting that the entropy corrections must include these relativistically corrected terms while taking the aforementioned limit. The non-relativistic corrections are recovered in the κ → 0 limit.
Keywords
Kaniadakis statistics; Bekenstein-Hawking entropy; Microcanonical Entropy; Log correction
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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