A varying gravitational constant map in asymptotically AdS black hole thermodynamics
High Energy Physics - Theory
2024-05-30 v3 General Relativity and Quantum Cosmology
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- map", where is the gravitational constant, and demonstrate its usefulness by considering various examples.
Keywords
Cite
@article{arxiv.2206.13664,
title = {A varying gravitational constant map in asymptotically AdS black hole thermodynamics},
author = {Iarley P. Lobo and João Paulo Morais Graça and Eduardo Folco Capossoli and Henrique Boschi-Filho},
journal= {arXiv preprint arXiv:2206.13664},
year = {2024}
}
Comments
7 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