Hyperbolic Casimir-like wormhole

Fuente: arXiv
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Autori principali: Avalos, Roberto, Contreras, Ernesto, Brito, Daniel, Fuenmayor, Ernesto
Natura: Preprint
Pubblicazione: 2025
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author Avalos, Roberto
Contreras, Ernesto
Brito, Daniel
Fuenmayor, Ernesto
author_facet Avalos, Roberto
Contreras, Ernesto
Brito, Daniel
Fuenmayor, Ernesto
contents We present a systematic study of exact solutions for traversable wormhole geometries in a static and hyperbolic symmetric spacetime. In the conventional form of studying wormhole geometry, traversability requires the presence of exotic matter, which also provides negative gravity effects to keep the wormhole throat open. Using hyperbolic symmetry we obtain a solution already provided with negative energy density that replaces this effect and allows us to derive wormhole geometries that effectively violate the null energy condition. To achieve this goal, we use a generalized complexity factor for hyperbolic symmetry adapted to study wormhole geometries and with a suitable redshift function in order to construct a Casimir-like traversable hyperbolic wormhole. A detailed study has been conducted on the behavior of the matter sector, the energy conditions, and the traversability conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17906
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hyperbolic Casimir-like wormhole
Avalos, Roberto
Contreras, Ernesto
Brito, Daniel
Fuenmayor, Ernesto
General Relativity and Quantum Cosmology
We present a systematic study of exact solutions for traversable wormhole geometries in a static and hyperbolic symmetric spacetime. In the conventional form of studying wormhole geometry, traversability requires the presence of exotic matter, which also provides negative gravity effects to keep the wormhole throat open. Using hyperbolic symmetry we obtain a solution already provided with negative energy density that replaces this effect and allows us to derive wormhole geometries that effectively violate the null energy condition. To achieve this goal, we use a generalized complexity factor for hyperbolic symmetry adapted to study wormhole geometries and with a suitable redshift function in order to construct a Casimir-like traversable hyperbolic wormhole. A detailed study has been conducted on the behavior of the matter sector, the energy conditions, and the traversability conditions.
title Hyperbolic Casimir-like wormhole
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2507.17906