Thermodynamics of Regular Black Holes in Anti-de Sitter Space

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Main Authors: Hennigar, Robie A., Kubizňák, David, Murk, Sebastian, Soranidis, Ioannis
Format: Preprint
Published: 2025
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author Hennigar, Robie A.
Kubizňák, David
Murk, Sebastian
Soranidis, Ioannis
author_facet Hennigar, Robie A.
Kubizňák, David
Murk, Sebastian
Soranidis, Ioannis
contents We construct regular black holes with anti-de Sitter asymptotics in theories incorporating infinite towers of higher-order curvature corrections in any dimension $D \ge 5$. We find that regular black branes are generically inner-extremal, potentially evading instabilities typically associated with inner horizons. Considering minimally coupled matter, we establish general criteria for the existence of singularity-free solutions. We analyze solutions coupled to Maxwell and nonlinear (Born--Infeld and RegMax) electrodynamics, demonstrating in the latter case the first examples of fully regular gravitational and electromagnetic fields for all parameter values. Here, we find that the ratio of the gravitational mass to the electrostatic self-energy determines whether the regular core is de Sitter or anti-de Sitter. We perform a detailed analysis of the black hole thermodynamics and show that the equation of state exhibits features akin to those of fluids with a finite molecular volume induced by the regularization parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2505_11623
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thermodynamics of Regular Black Holes in Anti-de Sitter Space
Hennigar, Robie A.
Kubizňák, David
Murk, Sebastian
Soranidis, Ioannis
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We construct regular black holes with anti-de Sitter asymptotics in theories incorporating infinite towers of higher-order curvature corrections in any dimension $D \ge 5$. We find that regular black branes are generically inner-extremal, potentially evading instabilities typically associated with inner horizons. Considering minimally coupled matter, we establish general criteria for the existence of singularity-free solutions. We analyze solutions coupled to Maxwell and nonlinear (Born--Infeld and RegMax) electrodynamics, demonstrating in the latter case the first examples of fully regular gravitational and electromagnetic fields for all parameter values. Here, we find that the ratio of the gravitational mass to the electrostatic self-energy determines whether the regular core is de Sitter or anti-de Sitter. We perform a detailed analysis of the black hole thermodynamics and show that the equation of state exhibits features akin to those of fluids with a finite molecular volume induced by the regularization parameter.
title Thermodynamics of Regular Black Holes in Anti-de Sitter Space
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.11623