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The prototype of a Euclidean wormhole solution of Einstein gravity coupled to matter is the axion wormhole in four spacetime dimensions. In this primarily expository article, we spell out some details about this construction. The axion…

High Energy Physics - Theory · Physics 2026-02-25 Edward Witten

We discuss new exact solutions of a three-parameter nonminimal Einstein-Maxwell model. The solutions describe static spherically symmetric objects with and without center, supported by an electric field nonminimally coupled to gravity. We…

General Relativity and Quantum Cosmology · Physics 2010-04-16 Alexander B. Balakin , José P. S. Lemos , Alexei E. Zayats

A wormhole is constructed by cutting and joining two spacetimes satisfying the low energy string equations with a dilaton field. In spacetimes described by the "string metric" the dilaton energy-momentum tensor need not satisfy the weak or…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Dan N. Vollick

We construct a class of Einstein-vector theories where the vector field couples bilinearly to the curvature polynomials of arbitrary order in such a way that only Riemann tensor rather than its derivative enters the equations of motion. The…

High Energy Physics - Theory · Physics 2016-02-17 Wei-Jian Geng , H. Lu

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

Since the general relativistic approach requires exotic matter with negative energy density, constructing wormholes containing realistic matter is a crucial challenge. Therefore, extending General Relativity to non-minimal cases may be an…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Özcan Sert

In this paper we present a new family of wormhole geometries in Lovelock theories with a unique vacuum, and study their stability under scalar field perturbations. As the solutions already known in the literature for Chern-Simons gravity on…

High Energy Physics - Theory · Physics 2024-07-02 Octavio Fierro , Daniela Narbona , Julio Oliva , Constanza Quijada , Guillermo Rubilar

The propagation of a free massless scalar field in a 1 + 1 dimensional Minkowski space modeling a wormhole is considered. The wormhole model consists on two timelike trajectories, which represent the entrance and the exit of the wormhole,…

High Energy Physics - Theory · Physics 2020-04-14 Gonzalo Gurrea-Ysasi , Gonzalo J. Olmo

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

We aim at finding static, spherically symmetric, vacuum solutions of a gauge invariant theory of gravity over Weyl integrable geometry spaces. It arises that vacuum wormholes of pure geometric nature are solutions of this theory. This means…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Israel Quiros

A gravitational scenario is proposed where the euclidean action is invariant under the isotropic and homogeneous version of the euclidean {\it U(1)} group of local transformations of the scale factor and scalar matter field, interpreting…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro F. Gonzalez-Diaz

Recently a bound on negative energy densities in four-dimensional Minkowski spacetime was derived for a minimally coupled, quantized, massless, scalar field in an arbitrary quantum state. The bound has the form of an uncertainty…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. H. Ford , Thomas A. Roman

We consider rotating wormhole solutions in general relativity supported by a complex non-phantom spinor field (which provides a nontrivial spacetime topology) and electromagnetic fields. The solutions are asymmetric, regular, asymptotically…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Vladimir Dzhunushaliev , Vladimir Folomeev

A general class of solutions is obtained which describe a spherically symmetric wormhole system. The presence of arbitrary functions allows one to describe infinitely many wormhole systems of this type. The source of the stress-energy…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. DeBenedictis , A. Das

In this paper, we consider Einstein gravity coupled to a vector field, either minimally or non-minimally, together with a vector potential of the type $V=2\Lambda_0+\ft 12 m^2 A^2+\gamma_4 A^4$. For a simpler non-minimally coupled theory…

High Energy Physics - Theory · Physics 2016-10-12 Zhong-Ying Fan

In this work, we explore the possibility of evolving (2+1) and (3+1)-dimensional wormhole spacetimes, conformally related to the respective static geometries, within the context of nonlinear electrodynamics. For the (3+1)-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Aaron V. B. Arellano , Francisco S. N. Lobo

Wormholes are outstanding solutions of Einstein's General Relativity. They were worked out in the late 1980's by Morris and Thorne, who have figured out a recipe that wormholes must obey in order to be traversable, that is, safely crossed…

General Relativity and Quantum Cosmology · Physics 2023-03-29 A. S. Agrawal , B. Mishra , P. H. R. S. Moraes

Noncommutative geometry, an offshoot of string theory, replaces point-like particles by smeared objects. These local effects have led to wormhole solutions in a semiclassical setting, but it has also been claimed that the noncommutative…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Peter K. F. Kuhfittig

Morris \& Thorne \cite{morris1} proposed geometrical objects called traversable wormholes that act as bridges in connecting two spacetimes or two different points of the same spacetime. The geometrical properties of these wormholes depend…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Nisha Godani , Gauranga C. Samanta

We classified and studied the charged black hole and wormhole solutions in the Einstein--Maxwell system in the presence of a massless, real scalar field. The possible existence of charged black holes in general scalar--tensor theories was…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Júlio C. Fabris , Tales A. O. Gomes , Denis C. Rodrigues