Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole

Abstract

We investigate the thermodynamics and phase structure of the deformed AdS-Schwarzschild black hole, generated via the gravitational decoupling (GD) method. In the bulk canonical ensemble, our results exhibit a van der Waals-type first-order phase transition in addition to the Hawking-Page transition, in the suitable parameter regime. Further, we compute the critical exponents characterising the bulk transition, confirming their consistency with mean-field theory predictions. Exploiting the exact holographic dictionary between extended black hole thermodynamics and the dual conformal field theory (CFT), we extend this analysis to the boundary and uncover a rich array of phase transitions and critical phenomena across three distinct thermodynamic ensembles. In particular, in the fixed $(\mathcal{V},C)$ ensemble, the dual CFT exhibits a Hawking-Page-type transition. However, in the fixed $(p,C)$ ensemble, the deformation parameter leads to a distinct thermodynamic behaviour in which multiple branches become unstable, leaving a single thermodynamically stable phase, thus marking a clear departure from the standard van der Waals scenario. Throughout, we emphasise the pivotal influence of the GD deformation parameter on the thermodynamic behaviour, and we elucidate its role in the confinement-deconfinement transitions characteristic of the deformed AdS-Schwarzschild geometry.

Accepted for publication in Nuclear Physics B. 34 pages, 25 figures

References in corpus (14)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Holographic Thermodynamics Requires a Chemical Potential for Color
• Isolated critical point from Lovelock gravity
• Thermodynamics of AdS Black Holes: Central Charge Criticality
• Holographic CFT Phase Transitions and Criticality for Charged AdS Black Holes
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Anisotropic Strange Star Model Beyond Standard Maximum Mass Limit by Gravitational Decoupling in $f(Q)$ Gravity
• Regular hairy black holes through Minkowski deformation
• A static and spherically symmetric hairy black hole in the framework of the Gravitational Decoupling
• Thermodynamics of Deformed AdS-Schwarzschild Black Hole
• Gravitational Decoupling and Picard-Lefschetz
• Thermodynamics of deformed AdS-Schwarzschild black holes in the presence of Thermal fluctuations