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In the present work, we develop and examine a series of exact solutions to Einstein's 5-dimensional field equations in the vacuum, which depend on two constant parameters, $p$ and $q$, which generalize the solutions of L\"u and Mei [8]…

General Relativity and Quantum Cosmology · Physics 2025-11-18 I. A. Sarmiento-Alvarado , Leonel Bixano , Tonatiuh Matos

Although wormholes can be treated as topological objects in spacetime and from a global point-of-view, a precise definition of what a wormhole throat is and where it can be located can be developed and treated entirely in terms of local…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Hochberg , Matt Visser

Wormhole configurations in Einstein's general theory of relativity (GR) require exotic matter sources violating the weak energy condition (WEC). Rastall's theory is a generalization of GR in its matter source considering a nonconserved…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Yaghoub Heydarzade , Maryam Ranjbar

A wormhole with a quantum throat on the basis of an approximate model of the spacetime foam is presented. An effective spinor field is introduced for the description of the spacetime foam. The consequences of such model of the wormhole is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Dzhunushaliev

It is well known that traversable wormholes are valid solutions of the Einstein field equations, but these structures can only be maintained by violating the null energy condition. In this paper, we have obtained such wormhole solutions in…

General Physics · Physics 2019-09-04 Nayan Sarkar , Susmita Sarkar , Farook Rahaman , P. K. F. Kuhfittig , G S Khadekar

It is well known that solutions of general relativity which allow for traversable wormholes require the existence of exotic matter (matter that violates weak or null energy conditions [WEC or NEC]). In this article, we provide a class of…

General Relativity and Quantum Cosmology · Physics 2009-05-29 F. Rahaman , M. Kalam , K. A. Rahman

We construct regular multi-wormhole solutions to a gravitating $\sigma$ model in three space-time dimensions, and extend these solutions to cylindrical traversable wormholes in four and five dimensions. We then discuss the possibility of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gérard Clément

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

In this work, we derive an exact vacuum solution to the Einstein field equations that depends on three constant parameters: the throat radius $r_0$, a parameter $q$, which is closely associated with the Komar mass, and a parameter $s$,…

General Relativity and Quantum Cosmology · Physics 2026-02-24 I. A. Sarmiento-Alvarado , Leonel Bixano , Tonatiuh Matos

The condition R=0, where R is the four-dimensional scalar curvature, is used for obtaining a large class (with an arbitrary function of r) of static, spherically symmetric Lorentzian wormhole metrics. The wormholes are globally regular and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 K. A. Bronnikov , Sung-Won Kim

The purpose of this paper is to examine the possible existence or construction of traversable wormholes supported by generalized Chaplygin gas (GCG) by starting with a general line element and the Einstein tensor, together with the equation…

General Relativity and Quantum Cosmology · Physics 2009-03-16 Peter K. F. Kuhfittig

The construction of traversable wormholes (WHs) with a cosmological constant, $\Lambda$, introduces significant challenges and leads to non-trivial modifications of the spacetime geometry. In this work, we obtain an analytical solution…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Rajesh Karmakar , Xian-Hui Ge

The newly discovered Wormhole C--metric is a solution of Einstein's field equation coupled with a phantom scalar field which describes the accelerated wormholes. In the zero acceleration limit the solution reduces to an asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Soham Chatterjee , Sagnik Roy , Ratna Koley

In the letter titled ''Traversable Wormholes in General Relativity'' [Phys. Rev. Lett. 128, 091104 (2022)], R. A. Konoplya and A. Zhidenko have constructed an asymmetric wormhole solution, which is not symmetric about the throat and is…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Yong-Qiang Wang , Shao-Wen Wei , Yu-Xiao Liu

We consider the possibility of multiply-connected spacetimes, ranging from the Flamm-Einstein-Rosen bridge, geons, and the modern renaissance of traversable wormholes. A fundamental property in wormhole physics is the flaring-out condition…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Francisco S. N. Lobo

We have recently discovered a smooth vacuum-wormhole solution of the first-order equations of general relativity. Here, we obtain the corresponding multiple-vacuum-wormhole solution. Assuming that our world is essentially Minkowski…

General Relativity and Quantum Cosmology · Physics 2023-08-10 F. 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

This work investigates the spherically symmetric thin-shell wormhole solutions in four-dimensional Einstein-Gauss-Bonnet theory and explores their stabilities under radial, linear perturbations. These solutions are typically traversable and…

General Relativity and Quantum Cosmology · Physics 2023-05-25 Peng Liu , Chao Niu , Wei-Liang Qian , Xiaobao Wang , Cheng-Yong Zhang

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

We seek wormholes among rotating cylindrically symmetric configurations in general relativity. Exact wormhole solutions are presented with such sources of gravity as a massless scalar field, a cosmological constant, and a scalar field with…

General Relativity and Quantum Cosmology · Physics 2016-03-30 K. A. Bronnikov , V. G. Krechet
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