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Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective

Physics

Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective

G. G. Luciano and A. Sheykhi

Discover the intriguing world of charged anti-de Sitter black holes with global monopoles through the lens of Tsallis statistics in this groundbreaking research by G G Luciano and A Sheykhi. Uncover the fascinating connections between black hole phase transitions and van der Waals fluids, alongside insightful discussions on thermodynamic curvature behaviors.

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Playback language: English
Abstract
This paper analyzes the geometrothermodynamics of charged anti-de Sitter (AdS) black holes with a global monopole using Tsallis statistics, a non-additive generalization of Boltzmann-Gibbs entropy. The study examines the impact of Tsallis entropy on small-large black hole phase transitions and critical exponents, comparing the findings to liquid-gas phase changes in van der Waals fluids. Physical constraints on the Tsallis parameter and its effect on black hole radiation sparsity are discussed. Thermodynamic curvature behavior is explored geometrically using the Ruppeiner formalism, and similar considerations are extended to charged (2+1)-dimensional Banados-Teitelboim-Zanelli (BTZ) black holes.
Publisher
Not specified in provided text
Published On
Apr 24, 2023
Authors
G G Luciano, A Sheykhi
Tags
charged anti-de Sitter black holes
global monopole
Tsallis statistics
black hole phase transitions
thermodynamic curvature
Ruppeiner formalism
BTZ black holes
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