Regular black holes and their singular families

Fuente: arXiv
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Main Authors: Huang, Hyat, Rao, Xiao-Pin
Format: Preprint
Published: 2025
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author Huang, Hyat
Rao, Xiao-Pin
author_facet Huang, Hyat
Rao, Xiao-Pin
contents Regular black holes without curvature singularity can arise in Einstein gravity with appropriate matter energy-momentum tensor. We show that these regular solutions represent only a special case of a much broader family of black holes with a free mass parameter. The regularity is achieved only at a specific mass value, and any deviation from the fine-tuned parameter inevitably results in curvature singularity. As a concrete example, we consider nonlinear electrodynamics (NLED) as matter sources. A new NLED theory is proposed that is a generalization of the Bardeen class and the Hayward class. New regular black holes and their singular counterparts are obtained. Significant distinctions between regular black holes and their singular counterparts are analyzed. These findings provide new insights into regular black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13133
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Regular black holes and their singular families
Huang, Hyat
Rao, Xiao-Pin
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Regular black holes without curvature singularity can arise in Einstein gravity with appropriate matter energy-momentum tensor. We show that these regular solutions represent only a special case of a much broader family of black holes with a free mass parameter. The regularity is achieved only at a specific mass value, and any deviation from the fine-tuned parameter inevitably results in curvature singularity. As a concrete example, we consider nonlinear electrodynamics (NLED) as matter sources. A new NLED theory is proposed that is a generalization of the Bardeen class and the Hayward class. New regular black holes and their singular counterparts are obtained. Significant distinctions between regular black holes and their singular counterparts are analyzed. These findings provide new insights into regular black holes.
title Regular black holes and their singular families
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2503.13133