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The `theoretical' existence of traversable Lorentzian wormholes in the classical, macroscopic world is plagued by the violation of the well--known energy conditions of General Relativity. In this brief article we show : (i) how the extent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sayan Kar , Naresh Dadhich , Matt Visser

Inspired by holographic dark energy models, we consider different energy density profiles as possible sources needed to have traversable wormholes solutions. Since such energy densities are all positive, we are forced to introduce an…

General Relativity and Quantum Cosmology · Physics 2024-06-12 Remo Garattini , Phongpichit Channuie

This study introduces and investigates Lorentzian traversable wormhole solutions rooted in Loop Quantum Gravity (LQG). The static and spherically symmetric solutions to be examined stem from the energy density sourcing self-dual regular…

General Relativity and Quantum Cosmology · Physics 2024-01-18 M. B. Cruz , R. M. P. Neves , Celio R. Muniz

The approach of Gao, Jafferis, and Wall to perturbatively construct traversable wormholes has seen success in a number of black hole backgrounds, particularly BTZ and $AdS_2$, whereas historically most wormhole solutions have been either…

High Energy Physics - Theory · Physics 2023-04-18 Ryan Bilotta

The Einstein-Cartan (EC) theory of gravity provides a natural extension of general relativity by incorporating spacetime torsion to account for the intrinsic spin of matter. In this work, we investigate Yukawa-Casimir traversable wormholes…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Nayan Sarkar , Susmita Sarkar , Abdelmalek Bouzenada

We study spherically symmetric thin-shell wormholes in a string cloud background in (3+1)-dimensional spacetime. The amount of exotic matter required for the construction, the traversability and the stability under radial perturbations, are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Richarte , Claudio Simeone

We consider the quantum correction to the Lagrangean by the massless free boson in the curved background in three dimensions where one of the coordinates is periodic. The correction term is given by an expansion of the metric with respect…

High Energy Physics - Theory · Physics 2009-10-30 Shin'ichi Nojiri

In this paper we continue the investigation about the connection between Casimir energy and the traversability of a wormhole. In addition to the negative energy density obtained by a Casimir device, we include the effect of an…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Remo Garattini

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…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Alberto Guilabert , Ernesto Fuenmayor , Pedro Bargueño , Ernesto Contreras

In this letter, we investigate the changes in the quantum vacuum energy density of a massless scalar field inside a Casimir cavity that orbits a wormhole, by considering the cosmological model with an isotropic form of the Morris-Thorne…

General Relativity and Quantum Cosmology · Physics 2024-09-05 A. C. L. Santos , C. R. Muniz , L. T. Oliveira

We present a general counting result for the unstable eigenvalues of linear operators of the form $JL$ in which $J$ and $L$ are skew- and self-adjoint operators, respectively. Assuming that there exists a self-adjoint operator $K$ such that…

Exactly Solvable and Integrable Systems · Physics 2017-08-23 Mariana Haragus , Jin Li , Dmitry E. Pelinovsky

We derive the simplest traversable wormhole solutions in $n$-dimensional general relativity, assuming static and spherically symmetric spacetime with a ghost scalar field. This is the generalization of the Ellis solution (or the so-called…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Takashi Torii , Hisa-aki Shinkai

In the present work we investigate wormhole configurations described by a constant redshift function in Einstein-Cubic gravity ({{\sf ECG}}). We derive analytical wormhole geometries by assuming a particular equation of state ({{\sf EoS}})…

General Relativity and Quantum Cosmology · Physics 2020-03-05 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie

This study aims to investigate the viability of a viable logarithmic f(R) gravity for inflation in giving wormhole solutions. We consider a static and spherically symmetric spacetime and two different shape functions. We found that the…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Yusmantoro , Rian Julianto

In this research work, our primary focus revolves around the examination of a specific category of traversable wormholes known as topologically charged generalized Schwarzschild-Simpson-Visser-type wormhole,…

General Relativity and Quantum Cosmology · Physics 2023-11-29 Faizuddin Ahmed

We investigate the possibility of obtaining traversable wormholes supported by phantom scalar fields in Lorentz-violating gravity with an antisymmetric rank-2 tensor with a non-zero vacuum expectation value non-minimally coupled to the…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Renan B. Magalhães , Leandro A. Lessa , Manoel M. Ferreira

This work presents new three-dimensional traversable wormhole solutions sourced by the Casimir density and pressures related to the quantum vacuum fluctuations in Yang-Mills (Y-M) theory. We begin by analyzing the noninteracting Y-M Casimir…

General Relativity and Quantum Cosmology · Physics 2023-09-20 Alana C. L. Santos , Célio R. Muniz , Roberto V. Maluf

Recently several models of traversable wormholes have been proposed which require only arbitrarily small amounts of negative energy to hold them open against self-collapse. If the exotic matter is assumed to be provided by quantum fields,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. J. Fewster , T. A. Roman

Some problems of the space-time causal structure are discussed using models with traversable wormholes. For this purpose the conditions of traversable wormhole matching with the exterior space-time are considered in detail and a mixed…

General Relativity and Quantum Cosmology · Physics 2011-04-15 M. Yu. Konstantinov

Renormalized vacuum expectation values of electromagnetic stress-energy tensor are calculated in the background spherically-symmetrical metric of the wormhole's topology. Covariant geodesic point separation method of regularization is used.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 V. Khatsymovsky