Quantum corrections to thermodynamics of BTZ black hole

Abstract

The motivation behind this study is to enumerate the leading order corrections to the thermodynamics of BTZ black hole (named after three scientists; Banados, Teitelboim, and Zanelli). We first analyze the effect of quantum corrections (motivated from string theory and loop quantum gravity) on various thermodynamic variables for uncharged and stationary BTZ black hole. We, later on, endow charges and rotations to the same black hole and rederive all the expressions once again. The comparative analysis is done between the corrected and uncorrected thermodynamics via plots.

Thermodynamical analysis with extended phase transition of AdS hairy black hole in gravitational decoupling theory

“…The thermal fluctuations and exponential correction, interpreted as quantum effects, modify the properties of BHs. We found the effect of such modifications on the BH mass and other thermodynamic quantities in the literature [85][86][87][88][89][90]. Hence, the study examined the quantum-corrected thermodynamics and statistics of BHs by computing the partition function.…”

Thermogeometric study of van der Waals like phase transition in black holes: An alternative approach

“…Recently, the P − V criticality has also been studied for black hole geometry with hyperscaling violation [33]. On a different note, we mention that the role of correction terms of the thermodynamic parameters in phase transition and in thermodynamic stability have been investigated in several spacetimes, such as: higher dimensional AdS black holes [34], charged rotating AdS black holes [35], charged black holes in gravity's rainbow [36], Hořava-Lifshitz black holes [37], charged quasitopological and charged rotating quasitopological black holes [38], non-rotating BTZ black holes [39], charged rotating BTZ black holes [40], Schwarzschild-Beltrami-de Sitter black holes [41] etc.…”

Thermodynamics of quantum-corrected Schwarzschild black hole surrounded by quintessence

“…Following these papers, many studies have been conducted to comprehend the laws of thermodynamics [12][13][14][15][16][17]. In particular, the quantum-corrected thermodynamics of Schwarzschild [18][19][20][21][22][23][24][25][26], RN [27][28][29][30][31][32][33], Kerr-Newman (K-N) [34][35][36][37] and Banados-Teitelboim-Zanelli (B-T-Z) [38][39][40][41][42][43][44][45][46][47][48] black holes have been investigated extensively in literature.…”