Gravitating Scalarons with Inverted Higgs Potential

Fuente: arXiv
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Autores principales: Chew, Xiao Yan, Lim, Kok-Geng
Formato: Preprint
Publicado: 2024
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author Chew, Xiao Yan
Lim, Kok-Geng
author_facet Chew, Xiao Yan
Lim, Kok-Geng
contents Previously, a class of regular and asymptotically flat gravitating scalar solitons (scalarons) has been constructed in the Einstein--Klein--Gordon (EKG) theory by adopting a phantom field with Higgs-like potential where the kinetic term has the wrong sign and the scalaron possesses the negative Arnowitt--Deser--Misner (ADM) mass as a consequence. In this paper, we demonstrate that the use of the phantom field can be avoided by inverting the Higgs-like potential in the EKG system when the kinetic term has a proper sign, such that the corresponding gravitating scalaron can possess the positive ADM mass. We systematically study the basic properties of the gravitating scalaron, such as the ADM mass, the energy conditions, the geodesics of test particles, etc. Moreover, we find that it can be smoothly connected to the counterpart hairy black hole solutions from our recent work in the small horizon limit.
format Preprint
id arxiv_https___arxiv_org_abs_2405_06407
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gravitating Scalarons with Inverted Higgs Potential
Chew, Xiao Yan
Lim, Kok-Geng
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Pattern Formation and Solitons
Previously, a class of regular and asymptotically flat gravitating scalar solitons (scalarons) has been constructed in the Einstein--Klein--Gordon (EKG) theory by adopting a phantom field with Higgs-like potential where the kinetic term has the wrong sign and the scalaron possesses the negative Arnowitt--Deser--Misner (ADM) mass as a consequence. In this paper, we demonstrate that the use of the phantom field can be avoided by inverting the Higgs-like potential in the EKG system when the kinetic term has a proper sign, such that the corresponding gravitating scalaron can possess the positive ADM mass. We systematically study the basic properties of the gravitating scalaron, such as the ADM mass, the energy conditions, the geodesics of test particles, etc. Moreover, we find that it can be smoothly connected to the counterpart hairy black hole solutions from our recent work in the small horizon limit.
title Gravitating Scalarons with Inverted Higgs Potential
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Pattern Formation and Solitons
url https://arxiv.org/abs/2405.06407