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

Abstract

In this manuscript we investigate the thermal properties of the rotating charged BTZ black hole under the GR formalism at first according to the usual Heisenberg algebra. Then, we consider a deformed algebra which 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.

EUP-corrected thermodynamics of BTZ black hole

“…Unlike the Schwarzschild and Kerr black holes, the BTZ black hole has a constant curvature which is not singular at origin [31]. For this reason, it has attracted attention and many studies have been conducted on it [32][33][34][35][36][37][38][39][40][41][42][43][44][45]. For example, Achúcarro and Ortiz revisited the BTZ solutions with dimensional reduction techniques [32].…”

“…In the same year, Babar et al handled the similar problem for the BTZ-like black hole that is surrounded by the quintessence matter [42]. Very recently, the authors of this manuscript explored the thermodynamic properties of BTZ black hole in the gravity's rainbow context [45].…”