Wormhole spacetimes in an expanding universe: Energy conditions and future singularities

Fuente: arXiv
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Auteurs principaux: Katsuragawa, Taishi, Nojiri, Shin'ichi, Odintsov, Sergei D.
Format: Preprint
Publié: 2025
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author Katsuragawa, Taishi
Nojiri, Shin'ichi
Odintsov, Sergei D.
author_facet Katsuragawa, Taishi
Nojiri, Shin'ichi
Odintsov, Sergei D.
contents We study wormhole geometries embedded in an expanding universe within a four-scalar non-linear $σ$ model, where the target-space metric is identified with the spacetime Ricci tensor. In this framework, wormholes can remain stable even when conventional energy conditions are violated. However, once cosmological expansion is included, the effective energy density and pressure are modified by the cosmological fluid, enabling the energy conditions to be satisfied. We further present intriguing geometries in which a finite future singularity appears in our universe but not in another universe connected by the wormhole. Near the throat, the hypersurface becomes timelike, allowing trajectories to traverse to the other universe before the singularity and return afterwards. We also construct wormhole solutions motivated by galactic dark-matter halo profiles, where the required non-vanishing pressure arises naturally from the four-scalar non-linear $σ$ model.
format Preprint
id arxiv_https___arxiv_org_abs_2511_03275
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Wormhole spacetimes in an expanding universe: Energy conditions and future singularities
Katsuragawa, Taishi
Nojiri, Shin'ichi
Odintsov, Sergei D.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We study wormhole geometries embedded in an expanding universe within a four-scalar non-linear $σ$ model, where the target-space metric is identified with the spacetime Ricci tensor. In this framework, wormholes can remain stable even when conventional energy conditions are violated. However, once cosmological expansion is included, the effective energy density and pressure are modified by the cosmological fluid, enabling the energy conditions to be satisfied. We further present intriguing geometries in which a finite future singularity appears in our universe but not in another universe connected by the wormhole. Near the throat, the hypersurface becomes timelike, allowing trajectories to traverse to the other universe before the singularity and return afterwards. We also construct wormhole solutions motivated by galactic dark-matter halo profiles, where the required non-vanishing pressure arises naturally from the four-scalar non-linear $σ$ model.
title Wormhole spacetimes in an expanding universe: Energy conditions and future singularities
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2511.03275