GUP corrections to black hole thermodynamics in the extended phase space approach

TL;DR

This paper investigates how the generalized uncertainty principle modifies black hole thermodynamics within the extended phase space framework, analyzing specific equations of state and their physical viability.

Contribution

It introduces corrected black hole solutions incorporating GUP effects in the extended phase space with specific equations of state for pressure.

Findings

GUP leads to modified temperature and entropy of black holes.

Solutions satisfy certain energy conditions and exhibit specific heat behaviors.

Extended phase space approach with GUP provides new insights into black hole thermodynamics.

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.