Existence conditions of nonsingular dyonic black holes in nonlinear electrodynamics

Fuente: arXiv
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Autori principali: Tsuda, Ren, Suzuki, Ryotaku, Tomizawa, Shinya
Natura: Preprint
Pubblicazione: 2023
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author Tsuda, Ren
Suzuki, Ryotaku
Tomizawa, Shinya
author_facet Tsuda, Ren
Suzuki, Ryotaku
Tomizawa, Shinya
contents General relativity coupled to nonlinear electrodynamics is known to have nonsingular black hole solutions. We investigate the existence conditions for such solutions in two-parameter Lagrangian ${\cal L} \left( {\cal F} , {\cal G} \right)$. In particular, we obtain a criterion on the Lagrangian for the existence of nonsingular black hole with a dyonic charge. In addition, we present a simple example of two-parameter Lagrangian satisfying the criterion, in which the existence of the dyonic solution is actually confirmed. Moreover, apart from the actual existence of dyonic solutions, we consider some examples for the Lagrangian satisfying such a criterion.
format Preprint
id arxiv_https___arxiv_org_abs_2308_02146
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Existence conditions of nonsingular dyonic black holes in nonlinear electrodynamics
Tsuda, Ren
Suzuki, Ryotaku
Tomizawa, Shinya
General Relativity and Quantum Cosmology
High Energy Physics - Theory
General relativity coupled to nonlinear electrodynamics is known to have nonsingular black hole solutions. We investigate the existence conditions for such solutions in two-parameter Lagrangian ${\cal L} \left( {\cal F} , {\cal G} \right)$. In particular, we obtain a criterion on the Lagrangian for the existence of nonsingular black hole with a dyonic charge. In addition, we present a simple example of two-parameter Lagrangian satisfying the criterion, in which the existence of the dyonic solution is actually confirmed. Moreover, apart from the actual existence of dyonic solutions, we consider some examples for the Lagrangian satisfying such a criterion.
title Existence conditions of nonsingular dyonic black holes in nonlinear electrodynamics
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2308.02146