Traversable Wormholes with Spontaneous Symmetry Breaking

Fuente: arXiv
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Autori principali: Chakrabarti, Soumya, Singha, Chiranjeeb
Natura: Preprint
Pubblicazione: 2024
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author Chakrabarti, Soumya
Singha, Chiranjeeb
author_facet Chakrabarti, Soumya
Singha, Chiranjeeb
contents We argue that a spherically symmetric traversable wormhole solution of the Einstein field equations can be supported by minimally coupled self-interacting scalar field which allows a spontaneous symmetry breaking of the field around the wormhole throat. We study two cases : (i) the phantom wormhole solution of Bronnikov and (ii) a generalized Kiselev wormhole. We study the property of radial null geodesics and show that the metric can describe either a two-way or a one-way traversable wormhole depending on certain parameter ranges. The scalar field exhibits spontaneous symmetry breaking within the coordinate range where a wormhole throat forms and helps one suggest that spontaneous symmetry breaking may act as a threshold for wormhole throat formation. We also compute the radius of the photon sphere, the Lyapunov exponent, the shadow radius, and the innermost stable circular orbits for the geometries.
format Preprint
id arxiv_https___arxiv_org_abs_2411_09236
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Traversable Wormholes with Spontaneous Symmetry Breaking
Chakrabarti, Soumya
Singha, Chiranjeeb
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
We argue that a spherically symmetric traversable wormhole solution of the Einstein field equations can be supported by minimally coupled self-interacting scalar field which allows a spontaneous symmetry breaking of the field around the wormhole throat. We study two cases : (i) the phantom wormhole solution of Bronnikov and (ii) a generalized Kiselev wormhole. We study the property of radial null geodesics and show that the metric can describe either a two-way or a one-way traversable wormhole depending on certain parameter ranges. The scalar field exhibits spontaneous symmetry breaking within the coordinate range where a wormhole throat forms and helps one suggest that spontaneous symmetry breaking may act as a threshold for wormhole throat formation. We also compute the radius of the photon sphere, the Lyapunov exponent, the shadow radius, and the innermost stable circular orbits for the geometries.
title Traversable Wormholes with Spontaneous Symmetry Breaking
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2411.09236