$P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics

Abstract

Boltzmann entropy-based thermodynamics of charged anti-de Sitter (AdS) black holes has been shown to exhibit physically interesting features, such as $P-V$ criticalities and van der Waals-like phase transitions. In this work we extend the study of these critical phenomena to Kaniadakis theory, which is a non-extensive generalization of the classical statistical mechanics incorporating relativity. By applying the typical framework of condensed-matter physics, we analyze the impact of Kaniadakis entropy onto the equation of state, the Gibbs free energy and the critical exponents of AdS black holes in the extended phase space. Additionally, we investigate the underlying micro-structure of black holes in Ruppeiner geometry, which reveals appreciable deviations of the nature of the particle interactions from the standard behavior. Our analysis opens up new perspectives on the understanding of black hole thermodynamics in a relativistic statistical framework, highlighting the role of non-extensive corrections in the AdS black holes/van der Waals fluids dual picture.

15 pages, 11 labelled figures, comments are welcome

References in corpus (25)

• The Area of a Rough Black Hole
• Barrow holographic dark energy
• Kaniadakis holographic dark energy and cosmology
• Modified cosmology through spacetime thermodynamics and Barrow horizon entropy
• Generalized entropies and corresponding holographic dark energy models
• Area-law versus Rényi and Tsallis black hole entropies
• Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole
• Primordial black holes and gravitational waves from non-canonical inflation
• Cosmic evolution and thermal stability of Barrow holographic dark energy in nonflat Friedmann-Robertson-Walker Universe
• Alternative entropies and consistent black hole thermodynamics
• Growth of Perturbations in Tsallis and Barrow Cosmology
• $f(R)$ global monopole revisited
• Holographic thermodynamics of rotating black holes
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• Slow-roll inflation and growth of perturbations in Kaniadakis modification of Friedmann cosmology
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Tsallis cosmology and its applications in dark matter physics with focus on IceCube high-energy neutrino data
• Quasi-homogeneous black hole thermodynamics
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• The third law of thermodynamics, non-extensivity, and energy definition in black hole physics
• Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole
• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• Tsallis uncertainty

Cited by in corpus (16)

• Phase structure of charged AdS black holes surrounded by exotic fluid with modified Chaplygin equation of state
• Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
• Relativistic Roots of $\kappa$-Entropy
• Nonextensive entropies impact onto thermodynamics and phase structure of Kerr-Newman black holes
• Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects
• Topological AdS black holes surrounded by Chaplygin dark fluid: from stability to geometrothermodynamic analysis
• Rényi Holographic Dark Energy
• Four $\mathbb{STU}$ Black Holes Shadows
• Black Hole Thermodynamics in Harada's inspired theory of gravity: Stability, Phase Structure and Geometrothermodynamics
• Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordström AdS Black Holes
• Dark Universe inspired by the Kaluza-Klein gravity and impact on Primordial Gravitational Waves
• Universal Relations with the Non-Extensive Entropy Perspective
• Topological Signatures and Geometrothermodynamics of Critical Phenomena in Regularized Maxwell Black Holes
• Thermodynamically massless Simpson-Visser black holes
• Observational constraints on Luciano-Saridakis entropic cosmology
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity