GUP corrections to black hole thermodynamics in the extended phase space approach
General Relativity and Quantum Cosmology
2023-02-21 v1
Abstract
In this work, we study corrections to black hole temperature and entropy in the context of the generalized uncertainty principle. In particular, we obtain corrected asymptotically anti de-Sitter black hole solutions following the extended phase space scheme in which the cosmological constant is considered as a thermodynamic pressure satisfying certain equation of state. Among all the possibilities, we consider that the cosmological pressure satisfies either a Polytropic or a Chaplygin equation of state. The physical plausibility of the solutions is studied based on the energy conditions and the associated heat capacity.
Keywords
Cite
@article{arxiv.2302.09137,
title = {GUP corrections to black hole thermodynamics in the extended phase space approach},
author = {Eduardo López and Pedro Bargueño and Ernesto Contreras},
journal= {arXiv preprint arXiv:2302.09137},
year = {2023}
}