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Related papers: Non-minimal Wu-Yang wormhole

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This work presents a new class of static, spherically symmetric traversable wormhole solutions within the framework of non-minimal Einstein-Yang-Mills (EYM) gravity, where the SU(2) Yang-Mills field is purely magnetic. By adopting a…

General Relativity and Quantum Cosmology · Physics 2025-09-08 Jureeporn Yuennan , Allah Ditta , Thammarong Eadkhong , Phongpichit Channuie

We discuss new exact solutions to nonminimally extended Einstein-Yang-Mills equations describing spherically symmetric static wormholes supported by the gauge field of the Wu-Yang type in a dark energy environment. We focus on the analysis…

General Relativity and Quantum Cosmology · Physics 2014-08-22 Alexander B. Balakin , Alexei E. Zayats

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

Regular and black-hole solutions of the spontaneously broken Einstein-Yang-Mills-Higgs theory with nonminimal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and differences with respect to…

High Energy Physics - Theory · Physics 2010-11-19 J. J. van der Bij , Eugen Radu

We discuss new exact spherically symmetric static solutions to non-minimally extended Einstein-Yang-Mills equations. The obtained solution to the Yang-Mills subsystem is interpreted as a non-minimal Wu-Yang monopole solution. We focus on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alexander B. Balakin , Alexei E. Zayats

In this article, we study wormhole spacetimes in the framework of the static spherically symmetric SU(2) Einstein-Yang-Mills theory coupled to a phantom scalar field. We show rigorously the existence of an infinite sequence of symmetric…

Mathematical Physics · Physics 2024-09-17 Marko Sobak

Alternative theories of gravity and their solutions are of considerable importance since at some fundamental level the world can reveal new features. Indeed, it is suspected that the gravitational field might be nonminimally coupled to the…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Alexander B. Balakin , José P. S. Lemos , Alexei E. Zayats

We solve the Euclidean Einstein equations with non-Abelian gauge fields of sufficiently large symmetry in various dimensions. In higher-dimensional spaces, we find the solutions which are similar to so-called scalar wormholes. In…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Katsuhiko Yoshida , Satoru Hirenzaki , Kiyoshi Shiraishi

We consider new regular exact spherically symmetric solutions of a nonminimal Einstein--Yang-Mills theory with a cosmological constant and a gauge field of magnetic Wu-Yang type. The most interesting solutions found are black holes with…

General Relativity and Quantum Cosmology · Physics 2016-01-11 Alexander B. Balakin , José P. S. Lemos , Alexei E. Zayats

This work presents new three-dimensional traversable wormhole solutions sourced by the Casimir density and pressures related to the quantum vacuum fluctuations in Yang-Mills (Y-M) theory. We begin by analyzing the noninteracting Y-M Casimir…

General Relativity and Quantum Cosmology · Physics 2023-09-20 Alana C. L. Santos , Célio R. Muniz , Roberto V. Maluf

The Einstein-Yang-Mills equations are the source of many interesting solutions within general relativity, including families of particle-like and black hole solutions, and critical phenomena of more than one type. These solutions,…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Daniel Jackson

We construct numerically the symmetric non-Abelian wormholes which are supported by a phantom field in the Einstein-Yang-Mills-Higgs theory beyond Bogomol'nyi-Prasad-Sommerfield (BPS) limit where the Higgs self-interaction constant…

General Relativity and Quantum Cosmology · Physics 2022-04-29 Xiao Yan Chew , Kok-Geng Lim

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

It is shown that in the static, spherically symmetric spacetime the problem of metric f(R) gravity coupled with non-linear Yang-Mills (YM) field constructed from the Wu-Yang ansatz as source, can be solved in all dimensions. By…

General Relativity and Quantum Cosmology · Physics 2011-09-26 S. Habib Mazharimousavi , M. Halilsoy

It is shown that for some particular value of the cosmological constant depending on the gauge coupling constant a continuous one-parameter family of Einstein-Yang-Mills wormholes exists which interpolates between the instanton and the…

General Relativity and Quantum Cosmology · Physics 2010-11-01 E. E. Donets , D. V. Gal'tsov

By employing the higher dimensional version of the Wu-Yang Ansatz we obtain black hole solutions in the spherically symmetric Einstein-Yang-Mills (EYM) theory. Although these solutions were found recently by other means, our method provides…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Habib Mazharimousavi , M. Halilsoy

While wormholes may be just as good a prediction of Einstein's theory as black holes, they are subject to severe restrictions from quantum field theory. In particular, a wormhole can only be held open by violating the null energy condition,…

General Relativity and Quantum Cosmology · Physics 2025-03-31 Peter K. F. Kuhfittig

The presence of exotic matter for the existence of the wormhole geometry has been an unavoidable problem in GR. In recent studies researchers have tried to deal with this issue using modified gravity theories where the WH geometry is…

General Physics · Physics 2022-04-19 Umesh Kumar Sharma , Shweta , Ambuj Kumar Mishra

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 this paper we consider an $SU(2)$ Yang-Mills field propagating in the $4+1$ dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduces to a one dimensional non linear wave equation. This…

Analysis of PDEs · Mathematics 2025-11-20 Michał Kowalczyk , Javier Monreal
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