Adiabatic analysis of the rotating BTZ black hole
General Relativity and Quantum Cosmology
2021-08-03 v2 High Energy Astrophysical Phenomena
Abstract
In this paper we analyze some interesting features of the thermodynamics of the rotating BTZ black hole from the Carath\'{e}odory axiomatic postulate, for which, we exploit the appropriate Pfaffian form. The allowed adiabatic transformations are then obtained by solving the corresponding Cauchy problem, and are studied accordingly. Furthermore, we discuss the implications of our approach, regarding the the second and third laws of black hole thermodynamics. In particular, the merging of two extremal black holes is studied in detail.
Keywords
Cite
@article{arxiv.2103.06329,
title = {Adiabatic analysis of the rotating BTZ black hole},
author = {Mohsen Fathi and Samuel Lepe and J. R. Villanueva},
journal= {arXiv preprint arXiv:2103.06329},
year = {2021}
}
Comments
Accepted version