Black holes thermodynamics with CFT re-scaling

Abstract

In this paper, we study the thermodynamic behavior of charged AdS black holes in a conformal holographic extended thermodynamic. Our setup is constructed using a new dictionary that relates AdS black hole quantities to the corresponding dual conformal field theory (CFT) one, with the conformal factor being treated as a variable thermodynamic. In this thermodynamic study, we investigate the critical phenomena of charged AdS black holes and their relationship to the central charge value, \(C\). Additionally, we examine the phase transitions and black hole stability using the free energy and the heat capacity, respectively. Furthermore, by examining the chemical potential, we establish criteria that differentiate between quantum and classical black hole behaviors. Our setup highlights one of the key findings, namely traditional black hole thermodynamics acts as a boundary between quantum and classical regimes.

11 pages, 4 figures

References in corpus (12)

• Joule-Thomson Expansion of Charged AdS Black Holes
• Superfluid Black Holes
• Critical phenomena of static charged AdS black holes in conformal gravity
• P-V criticality of charged dilatonic black holes
• Restricted phase space thermodynamics for AdS black holes via holography
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Thermodynamics of Kerr-AdS black holes in the restricted phase space
• WGC and WCCC of black holes with quintessence and cloud strings in RPS space
• Restricted phase space thermodynamics for black holes in higher dimensions and higher curvature gravities
• Charged 4D Einstein-Gauss-Bonnet Black Hole: Vacuum solutions, Cauchy Horizon, Thermodynamics
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole

Cited by in corpus (10)

• Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo
• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• Black Hole Chemistry: the first 15 years
• 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
• Spacetime Foam Effects on Charged AdS Black Hole Thermodynamics
• Holographic Thermodynamics of Higher-Dimensional AdS Black Holes with CFT Rescaling
• Complex Saddles of Charged-AdS Gravitational partition function
• 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