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Exact solutions of traversable wormholes were recently found under the assumption of spherical symmetry and the existence of a non-static conformal symmetry. In this paper, we verify that in the case of the conformally symmetric spacetimes…

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

Rastall's theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except in a very special case. When a canonical scalar field is…

General Relativity and Quantum Cosmology · Physics 2017-03-03 K. A. Bronnikov , J. C. Fabris , O. F. Piattella , E. C. Santos

When Morris and Thorne first proposed the possible existence of traversable wormholes, they adopted the following strategy: maintain complete control over the geometry, thereby leaving open the determination of the stress-energy tensor. In…

General Relativity and Quantum Cosmology · Physics 2016-05-24 Peter K. F. Kuhfittig

On the basis of exact solutions to the Einstein-Abelian gauge-dilaton equations in $D$-dimensional gravity, the properties of static axial configurations are discussed. Solutions free of curvature singularities are selected; they can be…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Kirill A. Bronnikov , Julio C. Fabris

In this article we obtain wormhole solutions in the recently proposed extension of symmetric teleparallel gravity called $f(Q,T)$ gravity. Here, the gravitational Lagrangian $L$ is defined by an arbitrary function $f$ of $Q$ and $T$ (where…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Moreshwar Tayde , Zinnat Hassan , P. K. Sahoo , Sashideep Gutti

We present a new class of solutions for static spherically symmetric wormhole spacetimes in conformal gravity and outline a detailed method for their construction. As an explicit example, we construct a class of traversable and…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Manuel Hohmann , Christian Pfeifer , Martti Raidal , Hardi Veermäe

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

This paper examines wormhole geometries in the context of $f(Q,T)$ gravity under the background of non-commutative distributions. We discuss the analytical solutions assuming spherical symmetry and the presence of conformal Killing vectors,…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Moreshwar Tayde , Zinnat Hassan , P. K. Sahoo

In the present work we search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors (CKV). A special aspect of noncommutative geometry is that it replaces…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Farook Rahaman , Sreya Karmakar , Indrani Karar , Saibal Ray

We study the stability of static, spherically symmetric, traversable wormholes existing due to conformal continuations in a class of scalar-tensor theories with zero scalar field potential (so that Fisher's well-known scalar-vacuum solution…

General Relativity and Quantum Cosmology · Physics 2016-08-31 K. A. Bronnikov , S. V. Grinyok

In this article, spherically symmetric thin-shell wormholes supported by a generalized Chaplygin gas are constructed and their stability under perturbations preserving the symmetry is studied. Wormholes with charge and with a cosmological…

General Relativity and Quantum Cosmology · Physics 2009-08-28 Ernesto F. Eiroa

In 1921 Bach and Weyl derived the method of superposition to construct new axially symmetric vacuum solutions of General Relativity. In this paper we extend the Bach-Weyl approach to non-vacuum configurations with massless scalar fields.…

General Relativity and Quantum Cosmology · Physics 2016-08-17 A. I. Egorov , P. E. Kashargin , Sergey V. Sushkov

In this work, we explore wormhole solutions in $f(R,T)$ theory of gravity, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor of matter. To investigate this, we consider static spherically symmetric geometry with…

General Relativity and Quantum Cosmology · Physics 2016-08-10 M. Zubair , Saira Waheed , Yasir Ahmad

In this work, we present novel analytical solutions for static and spherically symmetric wormhole geometries threaded by an anisotropic distribution of matter conformally coupled to a scalar ghost field. We explore the main features of the…

General Relativity and Quantum Cosmology · Physics 2023-10-12 Bruno J. Barros , Álvaro de la Cruz-Dombriz , Francisco S. N. Lobo

Noncommutative geometry, an offshoot of string theory, replaces point-like structures with smeared objects and has recently been extended to higher dimensions. The purpose of this letter is to obtain wormhole solutions with this extended…

General Relativity and Quantum Cosmology · Physics 2012-11-30 Farook Rahaman , P. K. F. Kuhfittig , Saibal Ray , Safiqul Islam

Wormholes can be described as geometrical structures in space and time that can serve as connection between distant regions of the universe. Mathematically, general wormholes can be defined both on stationary as well as on dynamic line…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Subhra Bhattacharya , Tanwi Bandyopadhyay

We consider a spherically symmetric line element which admits either a black hole geometry or a wormhole geometry and show that in both cases the apparent horizon or the wormhole throat is partially characterized by the zero-set of a single…

General Relativity and Quantum Cosmology · Physics 2021-06-23 D. D. McNutt , W. Julius , M. Gorban , B. Mattingly , P. Brown , G. Cleaver

A wormhole solution in Newtonian gravitation, enhanced through an equation relating the Ricci scalar to the mass density, is presented. The wormhole inhabits a spherically symmetric curved space, with one throat and two asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2016-03-24 José P. S. Lemos , Paulo Luz

We analyze a class of topological static spherically symmetric vacuum solutions in $f(Q)$-gravity. We considered an Ansatz ensuring that those solutions trivially satisfy the field equations of the theory when the non-metricity scalar is…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Marco Calzá , Lorenzo Sebastiani

This paper generalizes an earlier result by the author based on well-established embedding theorems that connect the classical theory of relativity to higher-dimensional spacetimes. In particular, an $n$-dimensional Riemannian space is said…

General Relativity and Quantum Cosmology · Physics 2019-03-18 Peter K. F. Kuhfittig