Barrow Entropy and AdS Black Holes in RPS Thermodynamics

Abstract

In this paper, we examine the restricted phase space (RPS) thermodynamics for charged AdS black holes by considering the impact of quantum gravity on the event horizon area. The primary aim of this work is to elucidate the influence of quantum gravitational effects on thermodynamic behaviors, critical phenomena, phase transitions, and the stability of black holes. We observe that charged AdS black holes exhibit thermodynamic behavior similar to that of Van der Waals fluids when influenced by quantum gravity. Furthermore, we introduce a novel black hole thermodynamic phenomenon, which we term ``resistance of phase transitions". Our study uncovers a violation of the homogeneity property of the Smarr relation in RPS thermodynamics due to the effects of quantum gravity.

11 pages, 4 figures

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• Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
• Thermodynamics, Weak Gravitational Lensing, and Parameter Estimation of a Schwarzschild Black Hole Immersed in Hernquist Dark Matter Halo
• Frolov Black Hole Surrounded by Quintessence -- I: Thermodynamics, Geodesics and Shadows
• Topology of restricted phase space thermodynamics in Kerr-Sen-Ads black holes
• Barrow's non-linear charged Anti-de Sitter black hole and stability
• Thermodynamic Topology and Photon Spheres Analysis of Black Holes in Brane-World: Insights from Barrow Entropy
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Spacetime Foam Effects on Charged AdS Black Hole Thermodynamics
• Holographic Thermodynamics of Higher-Dimensional AdS Black Holes with CFT Rescaling
• Thermodynamics of Barrow Einstein-power-Yang-Mills AdS black hole in the restricted phase space
• Thermodynamic and observational implications of black holes in toroidal geometry
• RPST-Inspired Formalism for Black Holes in Flat Spacetime
• A Brief Thermodynamic Study For Four Dimensional Einstein Gauss Bonnet Black Holes Using Fractalised Barrow Entropy
• Thermodynamics and information recovery of Schwarzschild AdS black holes in conformal Killing gravity
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity