Two scalarizations of magnetically charged black holes

Fuente: arXiv
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Autor principal: Myung, Yun Soo
Formato: Preprint
Publicado: 2025
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author Myung, Yun Soo
author_facet Myung, Yun Soo
contents We study two scalarizations of magnetically charged black holes in the Einstein-Gauss-Bonnet-scalar theory with the nonlinear electrodynamics (NED) term. For this purpose, two scalar coupling functions $f_1(ϕ)$ and $f_2(ϕ)$ are introduced to couple to Gauss-Bonnet (GB) and NED terms. The bald black hole is described by mass ($M$) and action parameter ($α$) with magnetic charge ($P$), which becomes the quantum Oppenheimer-Snyder black hole for $P=M$ whose action is still unknown. We derive Smarr formula which describes a correct thermodynamics for the charged black hole. Two Davies points of heat capacity are not identified with two critical onset mass and action parameter for GB$^-$ scalarization with $f_1(ϕ)$. Furthermore, the shadow radius analysis of charged black hole is performed to include naked singularities and it is compared to the EHT observation. There is no constraints on the action parameter, whereas new mass constraints are found. Finally, the NED$^+$ spontaneous scalarization with $f_2(ϕ)$ leads to infinite branches of scalarized charged black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17086
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two scalarizations of magnetically charged black holes
Myung, Yun Soo
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We study two scalarizations of magnetically charged black holes in the Einstein-Gauss-Bonnet-scalar theory with the nonlinear electrodynamics (NED) term. For this purpose, two scalar coupling functions $f_1(ϕ)$ and $f_2(ϕ)$ are introduced to couple to Gauss-Bonnet (GB) and NED terms. The bald black hole is described by mass ($M$) and action parameter ($α$) with magnetic charge ($P$), which becomes the quantum Oppenheimer-Snyder black hole for $P=M$ whose action is still unknown. We derive Smarr formula which describes a correct thermodynamics for the charged black hole. Two Davies points of heat capacity are not identified with two critical onset mass and action parameter for GB$^-$ scalarization with $f_1(ϕ)$. Furthermore, the shadow radius analysis of charged black hole is performed to include naked singularities and it is compared to the EHT observation. There is no constraints on the action parameter, whereas new mass constraints are found. Finally, the NED$^+$ spontaneous scalarization with $f_2(ϕ)$ leads to infinite branches of scalarized charged black holes.
title Two scalarizations of magnetically charged black holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2507.17086