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The first black hole solutions of the SU(N) Bach-Yang-Mills equations are presented. Static generalizations breaking spherical symmetry are also constructed. These constitute the first examples in the literature of C-metrics sourced by a…

High Energy Physics - Theory · Physics 2025-06-11 Daniel Flores-Alfonso

We consider globally regular and black hole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, coupled to a dilaton field. The basic solutions represent magnetic monopoles, monopole-antimonopole systems or black holes with monopole or…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz , Francisco Navarro-Lérida , Ulrike Neemann

We derive two new integral mass formulas for stationary black holes in Einstein-Yang-Mills theory. From these we derive a formula for $ \J \Omega -Q V $, from which it follows immediately that any stationary, nonrotating, uncharged black…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Daniel Sudarsky , Robert M. Wald

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

We investigate static, spherically symmetric solutions of an Einstein-Yang-Mills-Chern-Simons system with negative cosmological constant, for an SO(6) gauge group. For a particular value of the Chern-Simons coefficient, this model can be…

High Energy Physics - Theory · Physics 2013-05-29 Yves Brihaye , Eugen Radu , D. H. Tchrakian

We consider the Weyl$-$Yang gauge theory of gravitation in a $(4+3)$-dimensional curved space-time within the scenario of the non-Abelian Kaluza$-$Klein theory for the source and torsion-free limits. The explicit forms of the field…

General Relativity and Quantum Cosmology · Physics 2021-09-24 Halil Kuyrukcu

The new approach to quantum mechanical problems is proposed. Quantum states are represented in an algebraic program, by lists of variable length, while operators are well defined functions on these lists. Complete numerical solution of a…

High Energy Physics - Theory · Physics 2007-05-23 J. Wosiek

Regular monopole and dyon solutions to the SU(2) Einstein Yang-Mills equations in asymptotically anti-de Sitter space are discussed. A class of monopole solutions are shown to be stable against spherically symmetric linear perturbations.

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yutaka Hosotani , Jefferson Bjoraker

The dynamics of small perturbations around sphaleron and black hole solutions in the Einstein-Yang-Mills theory for the gauge group $SU(2)$ is investigated. The perturbations can be split into the two independent sectors in accordance with…

High Energy Physics - Theory · Physics 2007-05-23 Mikhail S. Volkov

We present a classification of the possible regular, spherically symmetric solutions of the Einstein-Yang-Mills system which is based on a bundle theoretical analysis for arbitrary gauge groups. It is shown that such solitons must be of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 O. Brodbeck , N. Straumann

Numerical solutions of the Einstein-Yang-Mills equations with a negative cosmological constant are constructed. These axially symmetric solutions approach asymptotically the anti-de Sitter spacetime and are regular everywhere. They are…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Eugen Radu

We use a systematic construction method for invariant connections on homogeneous spaces to find the Einstein-SU(n)-Yang-Mills equations for Friedmann-Robertson-Walker and locally rotationally symmetric homogeneous cosmologies. These…

General Relativity and Quantum Cosmology · Physics 2010-11-19 B. K. Darian , H. P. Kunzle

We investigated the SU(2) Einstein-Yang-Mills system on a time-dependent non-diagonal cylindrical symmetric space-time. From the numerical investigation, wave-like solutions are found, consistent with the familiar string-like features. They…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reinoud J. Slagter

We consider globally regular and black holes solutions for the Einstein-Yang-Mills system with negative cosmological constant in $d-$spacetime dimensions. We find that the ADM mass of the spherically symmetric solutions generically diverges…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Eugen Radu , D. H. Tchrakian

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

In the context of a semiclassical approach where vectorial gauge fields can be considered as classical fields, we obtain exact static solutions of the SU(N) Yang-Mills equations in a $(n+1)$ dimensional curved space-time, for the cases $n =…

High Energy Physics - Theory · Physics 2015-06-05 J. A. Sanchez-Monroy , C. J. Quimbay

As a first step towards a strong coupling expansion of Yang-Mills theory, the SU(2) Yang-Mills quantum mechanics of spatially constant gauge fields is investigated in the symmetric gauge, with the six physical fields represented in terms of…

High Energy Physics - Theory · Physics 2008-11-26 H. -P. Pavel

We study the existence of soliton and black hole solutions of four-dimensional su(N) Einstein-Yang-Mills theory with a negative cosmological constant. We prove the existence of non-trivial solutions for any integer N, with N-1 gauge field…

General Relativity and Quantum Cosmology · Physics 2008-12-18 J. E. Baxter , Elizabeth Winstanley

We present exact solutions in Einstein-Yang-Mills-Dirac theories with gauge groups SU(2) and SU(4) in Robertson-Walker space-time $R \times S^3 $, which are symmetric under the action of the group SO(4) of spatial rotations. Our approach is…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gerd Rudolph , Torsten Tok , Igor P. Volobuev

We present new soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. These solutions are described by N+1 independent parameters, and have N-1 gauge field degrees of freedom. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. E. Baxter , Marc Helbling , Elizabeth Winstanley