Traversable ghost wormholes

Fuente: arXiv
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Main Authors: Guilabert, Alberto, Fuenmayor, Ernesto, Bargueño, Pedro, Contreras, Ernesto
Format: Preprint
Published: 2025
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author Guilabert, Alberto
Fuenmayor, Ernesto
Bargueño, Pedro
Contreras, Ernesto
author_facet Guilabert, Alberto
Fuenmayor, Ernesto
Bargueño, Pedro
Contreras, Ernesto
contents Ghost stars are compact configurations characterized by an arbitrarily small total mass. Such objects require regions of negative energy density -a condition typically regarded as unphysical within the context of conventional stellar models. Nevertheless, negative energy densities arise naturally in traversable wormhole geometries, where the violation of the null energy condition is essential to sustain the flaring-out behavior at the throat. This connection suggests that ghost-like configurations may find a natural realization within wormhole physics. In this work, we investigate the existence of ghost configurations by analyzing their associated Hawking mass. Although in spherical symmetry the Misner and Hawking masses are known to coincide, we show that when the ghost condition is extended beyond spherical symmetry and applied to the Hawking mass, it faces topological obstructions that hinder its straightforward realization. As a concrete example, we demonstrate that a Casimir-like traversable wormhole can be naturally constructed within this framework. Finally, to illustrate the properties of the resulting geometry, we analyze its Penrose-Carter diagram.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22361
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Traversable ghost wormholes
Guilabert, Alberto
Fuenmayor, Ernesto
Bargueño, Pedro
Contreras, Ernesto
General Relativity and Quantum Cosmology
Ghost stars are compact configurations characterized by an arbitrarily small total mass. Such objects require regions of negative energy density -a condition typically regarded as unphysical within the context of conventional stellar models. Nevertheless, negative energy densities arise naturally in traversable wormhole geometries, where the violation of the null energy condition is essential to sustain the flaring-out behavior at the throat. This connection suggests that ghost-like configurations may find a natural realization within wormhole physics. In this work, we investigate the existence of ghost configurations by analyzing their associated Hawking mass. Although in spherical symmetry the Misner and Hawking masses are known to coincide, we show that when the ghost condition is extended beyond spherical symmetry and applied to the Hawking mass, it faces topological obstructions that hinder its straightforward realization. As a concrete example, we demonstrate that a Casimir-like traversable wormhole can be naturally constructed within this framework. Finally, to illustrate the properties of the resulting geometry, we analyze its Penrose-Carter diagram.
title Traversable ghost wormholes
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.22361