On the equipartition theorem and black holes nongaussian entropies
General Relativity and Quantum Cosmology
2020-11-18 v2
Abstract
In this Letter we have shown that, from the standard thermodynamic functions, the mathematical form of an equipartition theorem may be related to the algebraic expression of a particular entropy initially chosen to describe the black hole thermodynamics. Namely, we have different equipartition expressions for distinct statistics. To this end, four different mathematical expressions for the entropy have been selected to demonstrate our objective. Furthermore, a possible phase transition is observed in the heat capacity behavior of the Tsallis and Cirto entropy model.
Keywords
Cite
@article{arxiv.2002.02435,
title = {On the equipartition theorem and black holes nongaussian entropies},
author = {Everton M. C. Abreu and Jorge Ananias Neto and Edésio M. Barboza and Albert C. R. Mendes and Bráulio B. Soares},
journal= {arXiv preprint arXiv:2002.02435},
year = {2020}
}
Comments
Revised version. To appear in MPLA