A varying gravitational constant map in asymptotically AdS black hole thermodynamics

Abstract

We propose a sequence of steps and a generic transformation for connecting common thermodynamic quantities considered in asymptotically anti-de Sitter black hole thermodynamics in the bulk and those that are appropriate for CFT thermodynamics in the boundary. We do this by constructing a "varying-$G$ map", where $G$ is the gravitational constant, and demonstrate its usefulness by considering various examples.

arXiv comment7 pages. Modification of the title; substitution from "holographic dictionary" to "varying-G map"; addition of two subsections on AdS Taub-NUT and Kerr-AdS5 black holes, with discussions about the role of the Casimir energy; addition of references. Matches version accepted for publication in PLB

References in corpus (9)

• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Quintessence and black holes
• Black hole chemistry: thermodynamics with Lambda
• Holographic Heat Engines
• Holographic Thermodynamics Requires a Chemical Potential for Color
• Thermodynamics of AdS Black Holes: Central Charge Criticality
• Universal criticality of thermodynamic geometry for boundary conformal field theories in gauge/gravity duality
• Central charge criticality of charged AdS black hole surrounded by different fluids

Cited by in corpus (3)

• Black Hole Chemistry: the first 15 years
• Thermodynamics and phase transition in central charge criticality of charged Gauss-Bonnet AdS black holes
• CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach