Excising Cauchy Horizons with Nonlinear Electrodynamics

Fuente: arXiv
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Autori principali: Hale, Tomáš, Hennigar, Robie A., Kubiznak, David
Natura: Preprint
Pubblicazione: 2025
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author Hale, Tomáš
Hennigar, Robie A.
Kubiznak, David
author_facet Hale, Tomáš
Hennigar, Robie A.
Kubiznak, David
contents Charged and/or rotating black holes in General Relativity feature Cauchy horizons, which indicate a breakdown of predictability in the theory. Focusing on spherically symmetric charged black holes, we remark that the inevitability of Reissner-Nordstrom Cauchy horizon is due to the divergent electromagnetic self-energy of point charges. We demonstrate that any causal theory of nonlinear electrodynamics that regularizes the point charge self-energy also eliminates Cauchy horizons for weakly charged black holes. These black holes feature one (event) horizon and a spacelike singularity, analogous to the Schwarzschild metric. An example with Born-Infeld electrodynamics illustrates how this gives rise to an upper bound on the charge, which we compare with known bounds.
format Preprint
id arxiv_https___arxiv_org_abs_2506_20802
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Excising Cauchy Horizons with Nonlinear Electrodynamics
Hale, Tomáš
Hennigar, Robie A.
Kubiznak, David
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Charged and/or rotating black holes in General Relativity feature Cauchy horizons, which indicate a breakdown of predictability in the theory. Focusing on spherically symmetric charged black holes, we remark that the inevitability of Reissner-Nordstrom Cauchy horizon is due to the divergent electromagnetic self-energy of point charges. We demonstrate that any causal theory of nonlinear electrodynamics that regularizes the point charge self-energy also eliminates Cauchy horizons for weakly charged black holes. These black holes feature one (event) horizon and a spacelike singularity, analogous to the Schwarzschild metric. An example with Born-Infeld electrodynamics illustrates how this gives rise to an upper bound on the charge, which we compare with known bounds.
title Excising Cauchy Horizons with Nonlinear Electrodynamics
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2506.20802