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We argue that a spherically symmetric traversable wormhole solution of the Einstein field equations can be supported by minimally coupled self-interacting scalar field which allows a spontaneous symmetry breaking of the field around the…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Soumya Chakrabarti , Chiranjeeb Singha

In this paper, we study the spherically symmetric Dirac star model in the presence of a phantom field, obtaining a traversable wormhole solution in non-trivial topological spacetime. This solution exhibits asymmetry in both the field…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Chen-Hao Hao , Shi-Xian Sun , Long-Xing Huang , Rong Zhang , Xin Su , Yong-Qiang Wang

We discuss several properties of static, spherically symmetric wormholes with particular emphasis on the behavior of causal geodesics and the propagation of linear fields. We show there always exist null geodesics which are trapped in a…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Olivier Sarbach , Thomas Zannias

We study the possible existence of static traversable wormholes without invoking exotic matter in the framework of the Einstein--Cartan theory. A family of exact static, spherically symmetric wormhole solutions with an arbitrary throat…

General Relativity and Quantum Cosmology · Physics 2016-03-30 K. A. Bronnikov , A. M. Galiakhmetov

In the present paper we prove a uniqueness theorem for the regular static, traversable wormhole solutions to the Einstein-phantom scalar field theory with two asymptotically flat regions (ends). We show that when a certain condition on the…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Stoytcho Yazadjiev

Traversable wormhole are primarily useful as "gedanken-experiments" and as a theoretician's probe of the foundations of general relativity. In this work, we analyse the possibility of having tunnels in a hyperbolic spacetime. We obtain…

General Relativity and Quantum Cosmology · Physics 2010-09-02 Francisco S. N. Lobo , José P. Mimoso

We consider Lorentzian wormholes with a phantom field and chiral matter fields. The chiral fields are described by the non-linear sigma model with or without a Skyrme term. When the gravitational coupling of the chiral fields is increased,…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Efstathios Charalampidis , Theodora Ioannidou , Burkhard Kleihaus , Jutta Kunz

We present a new wormhole solution connecting two points of the same universe separated by finite distance. Virtually all the existing solutions connect two disconnected universes, or two points of the same universe that are infinitely far…

High Energy Physics - Theory · Physics 2018-12-26 De-Chang Dai , Djordje Minic , Dejan Stojkovic

Static, spherically symmetric, traversable wormhole solutions with electric or magnetic charges are shown to exist in general relativity in the presence of scalar fields nonminimally coupled to gravity. These wormholes, however, turn out to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. Grinyok

The ring wormhole is the zero-mass limit of the Kerr metric. Its geometry is locally flat, but the topology is nontrivial, with a throat connecting two asymptotic regions and a distributional curvature singularity on the ring encircling the…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Mikhail S. Volkov

In this paper we study classical general relativistic static wormhole configurations with pseudo-spherical symmetry. We show that in addition to the hyperbolic wormhole solutions discussed by Lobo and Mimoso in the Ref. Phys.\ Rev.\ D {\bf…

General Relativity and Quantum Cosmology · Physics 2015-06-26 Mauricio Cataldo , Luis Liempi , Pablo Rodriguez

In this article, we construct a family of spherically symmetric thin-shell wormholes within scalar-tensor theories of gravity. In the case of wormholes symmetric across the throat, we study the matter content and analyze the stability of…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Ernesto F. Eiroa , Griselda Figueroa-Aguirre , Vasiliki Karanasou

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 present new, asymptotically flat, static, spherically symmetric and traversable wormhole solutions in General Relativity which are supported by a family of ghost scalar fields with quartic potential. This family consists of a particular…

General Relativity and Quantum Cosmology · Physics 2019-10-31 Belen Carvente , Víctor Jaramillo , Juan Carlos Degollado , Darío Núñez , Olivier Sarbach

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

Following the recent theory of $f(Q)$ gravity, we continue to investigate the possible existence of wormhole geometries, where $Q$ is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Ayan Banerjee , Anirudh Pradhan , Takol Tangphati , Farook Rahaman

We extend the notion of phantom energy--which is generally accepted for homogeneously distributed matter with $w<-1$ in the universe--on inhomogeneous spherically symmetric spacetime configurations. A spherically symmetric distribution of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. V. Sushkov

New classes composite vacuum wormhole solutions of Jordan-Brans-Dicke gravitation is presented and analysed. It is shown that such solution holds for both, a bridge between separated Schwarzschild and Brans Universes and for a bridge…

General Relativity and Quantum Cosmology · Physics 2008-12-31 S. M. Kozyrev , S. V. Sushkov

A phase space is built that allows to study, classify and compare easily large classes of static spherically symmetric wormholes solutions, sustained by an isotropic perfect fluid in General Relativity. We determine the possible locations…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Stephane Fay

We construct wormholes in Einstein-scalar-Gauss-Bonnet theories with a potential for the scalar field that includes a mass term and self-interaction terms. By varying the Gauss-Bonnet coupling constant we delimit the domain of existence of…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Sardor Murodov
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