Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow

TL;DR

This paper explores quantum corrections to the thermodynamics of rotating charged BTZ black holes within gravity's rainbow and GUP frameworks, analyzing how quantum effects modify classical thermodynamic quantities.

Contribution

It introduces a comparative analysis of thermal properties of BTZ black holes under gravity's rainbow and GUP, highlighting quantum effects on black hole thermodynamics.

Findings

Quantum effects alter Hawking temperature and entropy.

Thermodynamical volume and pressure are affected by quantum corrections.

Heat capacity behavior indicates stability changes due to quantum effects.

Abstract

In this manuscript, we investigate the thermal properties of the rotating charged BTZ black hole under the gravity's rainbow (GR) and generalized uncertainty principle (GUP) formalism. At first, we study the GR-corrected thermal quantities according to the usual Heisenberg algebra. Then, we consider a deformed algebra that leads to a change in the Heisenberg uncertainty principle and compare the Hawking temperature, entropy, thermodynamical volume, pressure, and heat capacity functions with the previous results. Thus, we understand and interpret the quantum effects on the BTZ black hole.