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Related papers: Einstein-Yang-Mills wormholes haunted by a phantom…

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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 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

Based on the rigid positive energy theorem we proved the uniqueness of static spherically symmetric traversable wormholes with two asymptotically flat ends, being the higher-dimensional solutions of Einstein scalar phantom field. The proof…

High Energy Physics - Theory · Physics 2018-02-14 Marek Rogatko

Wormhole spacetimes may be responsible for the possible loss of quantum coherence and the introduction of additional fundamental quantum indeterminancy of the values of constants of nature. As a system which is known to admit such classical…

High Energy Physics - Theory · Physics 2009-10-30 Hongsu Kim

In recent, Kar.S et.al [ Phys Rev D 67,044005 (2003) ] have obtained static spherically symmetric solutions of the Einstein-Kalb-Ramond field equations. We have shown that their solutions, indeed, represent Wormholes.

General Relativity and Quantum Cosmology · Physics 2010-11-11 F. Rahaman , M. Kalam , A. Ghosh

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant $\Lambda$. These solutions approach asymptotically the anti-de Sitter spacetime and…

High Energy Physics - Theory · Physics 2009-11-10 Eugen Radu , Elizabeth Winstanley

We have found a simple exact solution of spherically-symmetrical Einstein equations describing a wormhole for an inhomogeneous distribution of the phantom energy. The equation of state is linear but highly anisotropic: while the radial…

General Relativity and Quantum Cosmology · Physics 2009-11-11 O. B. Zaslavskii

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

We prove the uniqueness theorem for static spherically symmetric traversable wormholes with two asymptotically flat ends, constituting the solutions of Einstein-phantom-electric-magnetic equations of motion. For the completeness of the…

General Relativity and Quantum Cosmology · Physics 2025-05-12 Marek Rogatko

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-dilaton theory. Like their spherically symmetric counterparts, these solutions are nonsingular and asymptotically flat. The solutions are characterized by the…

High Energy Physics - Theory · Physics 2016-09-06 Burkhard Kleihaus , Jutta Kunz

We obtain a family of regular static, spherically symmetric solutions in Einstein--Cartan theory with an electromagnetic field and a nonminimally coupled scalar field with the correct sign of kinetic energy density. At different values of…

General Relativity and Quantum Cosmology · Physics 2016-12-07 K. A. Bronnikov , A. M. Galiakhmetov

We consider a spherically symmetric (magnetic) $SU(2)$ Yang-Mills field propagating on the exterior of the extremal Reissner-Nordstr\"om black hole. Taking advantage of the conformal symmetry, we reduce the problem to the study of the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Piotr Bizoń , Michał Kahl

The static and spherically symmetric solutions in $n(\ge 4)$-dimensional Einstein-phantom-scalar system fall into three family: (i) the Fisher solution, (ii) the Ellis-Gibbons solution, and (iii) the Ellis-Bronnikov solution. We exploit…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Masato Nozawa

We discuss exact solutions of three-parameter non-minimal Einstein-Yang-Mills model, which describe the wormholes of a new type. These wormholes are considered to be supported by SU(2)-symmetric Yang-Mills field, non-minimally coupled to…

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

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

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

We construct new black hole solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by their horizon radius and a pair of integers (k,n), where k is related to the polar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Marion Wirschins

We investigate all static spherically symmetric solutions in the context of general relativity surrounded by a minimally-coupled quintessence field, using dynamical system analysis. Applying the 1+1+2 formalism and introducing suitable…

General Relativity and Quantum Cosmology · Physics 2017-05-29 Miguel Cruz , Apratim Ganguly , Radouane Gannouji , Genly Leon , Emmanuel N. Saridakis

We consider asymptotically flat static spherically symmetric black hole solutions in SU(N) Einstein-Yang-Mills theory. Embedding the N-dimensional representation of $su(2)$ in $su(N)$, the purely magnetic gauge field ansatz contains $N-1$…

High Energy Physics - Theory · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz , Abha Sood

In Einstein gravity, for an inhomogeneous phantom energy distribution having linear equation of state (but anisotropic), there exists simple exact solution for spherically symmetric space time describing a wormhole. At infinity, the space…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Subenoy Chakraborty , Tanwi Bandyopadhyay
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