Minimum asymptotic energy of a charged spherically symmetric thin-shell wormhole and its stability

Abstract The static spherically symmetric thin shell of proper mass m and electric charge q around a central star or black hole of mass M is in general unstable. Although with fine-tuned m, q,  and M it can be considered quasi-stable. These facts have been recently proved by Hod (Eur Phys J C 84:114...

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Main Author: S. Habib Mazharimousavi
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13881-z
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author S. Habib Mazharimousavi
author_facet S. Habib Mazharimousavi
author_sort S. Habib Mazharimousavi
collection DOAJ
description Abstract The static spherically symmetric thin shell of proper mass m and electric charge q around a central star or black hole of mass M is in general unstable. Although with fine-tuned m, q,  and M it can be considered quasi-stable. These facts have been recently proved by Hod (Eur Phys J C 84:1148, https://doi.org/10.1140/epjc/s10052-024-13546-3 , 2024) from which we are inspired to investigate the stability status of the throat of a spherically symmetric thin-shell wormhole (TSW) with the same proper mass and charge. Precisely, in this compact paper, we introduce the radius of stability for the throat of a static spherically symmetric charged TSW, by optimizing its energy measured by an asymptotic observer. Furthermore, we prove that at the stable equilibrium radius, the tension on the throat is zero, and a perturbation in the form of an initial kinetic energy results in an effective attractive potential such that the throat oscillates around the equilibrium point.
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series European Physical Journal C: Particles and Fields
spelling doaj-art-f8daf2c745e94789af2f88fe0bbec7492025-02-09T12:51:52ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-018521510.1140/epjc/s10052-025-13881-zMinimum asymptotic energy of a charged spherically symmetric thin-shell wormhole and its stabilityS. Habib Mazharimousavi0Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean UniversityAbstract The static spherically symmetric thin shell of proper mass m and electric charge q around a central star or black hole of mass M is in general unstable. Although with fine-tuned m, q,  and M it can be considered quasi-stable. These facts have been recently proved by Hod (Eur Phys J C 84:1148, https://doi.org/10.1140/epjc/s10052-024-13546-3 , 2024) from which we are inspired to investigate the stability status of the throat of a spherically symmetric thin-shell wormhole (TSW) with the same proper mass and charge. Precisely, in this compact paper, we introduce the radius of stability for the throat of a static spherically symmetric charged TSW, by optimizing its energy measured by an asymptotic observer. Furthermore, we prove that at the stable equilibrium radius, the tension on the throat is zero, and a perturbation in the form of an initial kinetic energy results in an effective attractive potential such that the throat oscillates around the equilibrium point.https://doi.org/10.1140/epjc/s10052-025-13881-z
spellingShingle S. Habib Mazharimousavi
Minimum asymptotic energy of a charged spherically symmetric thin-shell wormhole and its stability
European Physical Journal C: Particles and Fields
title Minimum asymptotic energy of a charged spherically symmetric thin-shell wormhole and its stability
title_full Minimum asymptotic energy of a charged spherically symmetric thin-shell wormhole and its stability
title_fullStr Minimum asymptotic energy of a charged spherically symmetric thin-shell wormhole and its stability
title_full_unstemmed Minimum asymptotic energy of a charged spherically symmetric thin-shell wormhole and its stability
title_short Minimum asymptotic energy of a charged spherically symmetric thin-shell wormhole and its stability
title_sort minimum asymptotic energy of a charged spherically symmetric thin shell wormhole and its stability
url https://doi.org/10.1140/epjc/s10052-025-13881-z
work_keys_str_mv AT shabibmazharimousavi minimumasymptoticenergyofachargedsphericallysymmetricthinshellwormholeanditsstability