Stability of the thin shell from traversable Schwarzschild-like wormholes

Abstract This article analyses the stability of thin-shell wormholes constructed from non-asymptotically flat wormholes and the vacuum Schwarzschild solution. The construction of these spherically symmetric thin shells focuses on a specific class of wormholes characterized by a shape function that i...

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Main Authors: Luis Liempi, Fabián Orellana, Mauricio Cataldo
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13676-8
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author Luis Liempi
Fabián Orellana
Mauricio Cataldo
author_facet Luis Liempi
Fabián Orellana
Mauricio Cataldo
author_sort Luis Liempi
collection DOAJ
description Abstract This article analyses the stability of thin-shell wormholes constructed from non-asymptotically flat wormholes and the vacuum Schwarzschild solution. The construction of these spherically symmetric thin shells focuses on a specific class of wormholes characterized by a shape function that is linearly dependent on the radial coordinate. This introduces angular defects, which can be either deficits or excesses in the solid angle. To analyze the stability of these structures, we employ linear perturbations around a static solution, using a master equation to describe the behavior of stable equilibrium regions. The study is systematically divided to examine both positive and negative surface energy densities, and it delves into various gravitational redshift functions. Finally, it is concluded that the interaction of an external force on the thin shell significantly influences the behaviour of stable regions. It is demonstrated that, in certain cases, the matter supporting the thin shell may be non-exotic, fully satisfying all energy conditions.
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institution Kabale University
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publishDate 2024-12-01
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record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-6b12c12b2c364c7594f627d8ebf4b0b12025-02-02T12:39:04ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211410.1140/epjc/s10052-024-13676-8Stability of the thin shell from traversable Schwarzschild-like wormholesLuis Liempi0Fabián Orellana1Mauricio Cataldo2Departamento de Física, Universidad de ConcepciónCentro Interdisciplinario de Neurociencia de Valparaíso (CINV), Universidad de Valparaíso, Valparaíso, Chile Millennium Nucleus in NanoBioPhysics (NNBP)Departamento de Física, Universidad del Bío-BíoAbstract This article analyses the stability of thin-shell wormholes constructed from non-asymptotically flat wormholes and the vacuum Schwarzschild solution. The construction of these spherically symmetric thin shells focuses on a specific class of wormholes characterized by a shape function that is linearly dependent on the radial coordinate. This introduces angular defects, which can be either deficits or excesses in the solid angle. To analyze the stability of these structures, we employ linear perturbations around a static solution, using a master equation to describe the behavior of stable equilibrium regions. The study is systematically divided to examine both positive and negative surface energy densities, and it delves into various gravitational redshift functions. Finally, it is concluded that the interaction of an external force on the thin shell significantly influences the behaviour of stable regions. It is demonstrated that, in certain cases, the matter supporting the thin shell may be non-exotic, fully satisfying all energy conditions.https://doi.org/10.1140/epjc/s10052-024-13676-8
spellingShingle Luis Liempi
Fabián Orellana
Mauricio Cataldo
Stability of the thin shell from traversable Schwarzschild-like wormholes
European Physical Journal C: Particles and Fields
title Stability of the thin shell from traversable Schwarzschild-like wormholes
title_full Stability of the thin shell from traversable Schwarzschild-like wormholes
title_fullStr Stability of the thin shell from traversable Schwarzschild-like wormholes
title_full_unstemmed Stability of the thin shell from traversable Schwarzschild-like wormholes
title_short Stability of the thin shell from traversable Schwarzschild-like wormholes
title_sort stability of the thin shell from traversable schwarzschild like wormholes
url https://doi.org/10.1140/epjc/s10052-024-13676-8
work_keys_str_mv AT luisliempi stabilityofthethinshellfromtraversableschwarzschildlikewormholes
AT fabianorellana stabilityofthethinshellfromtraversableschwarzschildlikewormholes
AT mauriciocataldo stabilityofthethinshellfromtraversableschwarzschildlikewormholes