2020/02/29 by Everton M. C. Abreu, Jorge Ananias Neto, Edésio M. Barboza +3
Physics and Astronomy · #Algebraic number #Black hole (networking) #Black hole thermodynamics #Entropy (arrow of time) #Equipartition theorem #High-Energy Particle Collisions Research #Noncommutative and Quantum Gravity Theories #Phase transition #Specific heat #Statistical Mechanics and Entropy #Tsallis entropy #gr-qc
paper · pdf · doi:10.1142/s0217732320502661
Revised version. To appear in MPLA
openalex created_date 2020/02/14 · arxiv created 2020/08/07 · openalex publication_date 2020/08/17 · arxiv updated 2020/11/18 · openalex updated_date 2026/08/05
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 event horizon. 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.