Thermodynamics of the Schwarzschild and Reissner-Nordstr\"om black holes under higher-order generalized uncertainty principle

TL;DR

This paper investigates how higher-order generalized uncertainty principles modify the thermodynamic properties of Schwarzschild and Reissner-Nordström black holes, revealing significant corrections to temperature, entropy, and heat capacity.

Contribution

It introduces a detailed analysis of GUP effects on black hole thermodynamics up to second-order, comparing behaviors of different black hole types with graphical illustrations.

Findings

GUP corrections significantly alter black hole temperature and entropy.

Thermodynamic stability is affected by higher-order GUP terms.

Distinct behaviors observed between Schwarzschild and Reissner-Nordström black holes.

Abstract

In this manuscript, the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black holes in the presence of higher-order generalized uncertainty principle (GUP) have been investigated. We considered heuristic analysis versus the behavior of a particle that is absorbed by the black hole, and then, we studied the thermodynamic properties of the black holes such as temperature-mass, temperature-charge-mass, entropy, and heat capacity functions up to the first and second-order of the GUP parameter. We compared the behaviors of the GUP-corrected thermodynamic properties for both black holes with graphical methods.