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- Title
Relativistic correction to black hole entropy.
- Authors
Kumar, Naman
- 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 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.
- Subjects
BLACK holes; CANONICAL ensemble; ENTROPY; SCHWARZSCHILD black holes; MEAN field theory; RELATIVISTIC astrophysics
- Publication
General Relativity & Gravitation, 2024, Vol 56, Issue 4, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-024-03228-6