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This brief review discusses the existence conditions of wormhole throats and wormholes as global configurations in general relativity under the assumptions of cylindrical and axial symmetries. It is pointed out, in particular, that wormhole…

General Relativity and Quantum Cosmology · Physics 2015-09-07 K. A. Bronnikov , M. V. Skvortsova

Recently, Ba\~{n}ados, Teitelboim and Zanelli (BTZ) \cite{BTZ1992} has discovered an explicit vacuum solution of (2+1)-dimensional gravity with negative cosmological constant. It has been argued that the existence of such physical systems…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Farook Rahaman , A. Banerjee , I. Radinschi

In this article, new wormhole solutions in the framework of General Relativity are presented. Taking advantage of gravitational decoupling by means of minimal geometric deformation approach and, the so-called noncommutative geometry…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Francisco Tello-Ortiz , B. Mishra , A. Alvarez , Ksh. Newton Singh

Models of static wormholes are investigated in the framework of $f(\textit{R}, \textit{T})$ gravity ($\textit{R}$ being the curvature scalar, and $\textit{T}$ the trace of the energy momentum tensor). An attempt to link the energy density…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Emilio Elizalde , Martiros Khurshudyan

In this work, we present the Einstein field equations (EFE) in the framework of a modified matter source and thus find out the solutions for the Wormhole. To obtain characteristic solutions set, we employ two kinds of equations of states…

General Relativity and Quantum Cosmology · Physics 2023-02-03 G. Mustafa , Faisal Javed , S. K. Maurya , Saibal Ray

In the paper we obtain traversable wormhole (TW) solutions in the Einstein gravity with a functional form of the dark matter in the galactic halo. The dark matter model is pseudo isothermal which is derived from modified gravity. For a…

General Physics · Physics 2020-08-12 B. C. Paul

Recent studies relating the approximations for the equations of state for thin shells and their consequent perturbative evolution are extended to thin-shell wormholes in theories beyond general relativity and more than four spacetime…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Emilio Rubín de Celis , Cecilia Tomasini , Claudio Simeone

The Kalb-Ramond field is a background tensor field that arises in string theory and violates local Lorentz symmetry of spacetime, upon acquiring the Vacuum Expectation Value. A non-minimal coupling between the Kalb-Ramond VEV and the Ricci…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Arya Dutta , Farook Rahaman

We review a new traversable-wormhole solution of the gravitational field equation of general relativity without exotic matter. Instead of having exotic matter to keep the wormhole throat open, the solution relies on a 3-dimensional…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Frans R. Klinkhamer

We study the geometry of a wormhole spacetime filled with anisotropic matter in the context of general relativity. In the course of the study, new static and spherically symmetric solutions, analytic and numerical ones, are found. We…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Hyeong-Chan Kim , Youngone Lee

A new framework is proposed for general dynamic wormholes, unifying them with black holes. Both are generically defined locally by outer trapping horizons, temporal for wormholes and spatial or null for black and white holes. Thus wormhole…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

In 6D general relativity with a phantom scalar field as a source of gravity, we present solutions that implement a transition from an effective 4D geometry times small extra dimensions to an effectively 6D space-time where the physical laws…

General Relativity and Quantum Cosmology · Physics 2017-09-19 K. A. Bronnikov , P. A. Korolyov , A. Makhmudov , M. V. Skvortsova

Traversable wormhole solutions are explored in $f(\mathcal{R},\mathbb{T})$ gravity, a curvature--matter extension in which $\mathcal{R}$ is the Ricci scalar and $\mathbb{T}$ denotes the trace of the energy--momentum tensor. To generate…

General Relativity and Quantum Cosmology · Physics 2026-02-02 G. G. L. Nashed , A. Eid

The thin-shell wormhole created using the Darmois-Israel formalism applied to Robinson-Trautman family of spacetimes is presented. The stress energy tensor created on the throat is interpreted in terms of two dust streams and it is shown…

General Relativity and Quantum Cosmology · Physics 2018-03-05 O. Svitek , T. Tahamtan

Traversable Wormhole are amazing astrophysical objects predicted by General Relativity which are able to connect remote region of space-time. Even if their existence has not been proved yet they are object of continuous investigation. From…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Remo Garattini

This paper discusses the stability to linearized radial perturbations of spherically symmetric thin-shell wormholes with a "phantom-like" equation of state for the exotic matter at the throat: $P=\omega\sigma$, $\omega<0$, where $\sigma$ is…

General Relativity and Quantum Cosmology · Physics 2016-06-10 Peter K. F. Kuhfittig

This paper discusses traversable wormholes that differ slightly but significantly from those of the Morris-Thorne type under the assumption of cylindrical symmetry. The throat is a piecewise smooth cylindrical surface resulting in a shape…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter K. F. Kuhfittig

We study solutions obtained via applying dualities and complexifications to the vacuum Weyl metrics generated by massive rods and by point masses. Rescaling them and extending to complex parameter values yields axially symmetric vacuum…

High Energy Physics - Theory · Physics 2017-05-31 Gary W. Gibbons , Mikhail S. Volkov

Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a {\it non-static} conformal symmetry, which presents a more systematic approach in searching for exact wormhole solutions.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

Recently, Dadhich et al [ Phys.Lett.B 487, 1 (2000)] have discovered a black hole solution localized on a three brane in five dimensional gravity in the Randall-Sundrum scenario. In this article, we develop a new class of thin shell…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Rahaman , M. Kalam , K A Rahman , S. Chakraborti