A varying gravitational constant map in asymptotically AdS black hole thermodynamics

TL;DR

This paper introduces a method to connect bulk and boundary thermodynamics in asymptotically AdS black holes through a varying gravitational constant map, facilitating better understanding of holographic dualities.

Contribution

It proposes a generic transformation linking bulk and boundary thermodynamic quantities via a varying-$G$ map, with demonstrated examples.

Findings

The varying-$G$ map effectively relates bulk and boundary thermodynamics.

Examples show the map's utility in different AdS black hole scenarios.

The approach enhances understanding of holographic 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.