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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

This is a short review of classical solutions with gravitating Yang-Mills fields in $D>4$ spacetime dimensions. The simplest SO(4) symmetric particlelike and SO(3) symmetric vortex type solutions in the Einstein-Yang-Mills theory in D=5 are…

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

We construct static, asymptotically flat solutions of SU(2) Einstein-Yang-Mills theory in 4+1 dimensions, subject to bi-azimuthal symmetry. Both particle-like and black hole solutions are considered for two different sets of boundary…

High Energy Physics - Theory · Physics 2008-11-26 Eugen Radu , Ya. Shnir , D. H. Tchrakian

In this paper an intrinsically non-Abelian black hole solution for the SU(2) Einstein-Yang-Mills theory in four dimensions is constructed. The gauge field of this solution has the form of a meron whereas the metric is the one of a…

High Energy Physics - Theory · Physics 2015-06-11 Fabrizio Canfora , Francisco Correa , Alex Giacomini , Julio Oliva

We construct rotating hairy black holes in SU(2) Einstein-Yang-Mills theory. These stationary axially symmetric black holes are asymptotically flat. They possess non-trivial non-Abelian gauge fields outside their regular event horizon, and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. Kleihaus , J. Kunz , F. Navarro-Lerida

It is shown that a generic black hole solution of the SU(2) Einstein-Yang-Mills equations develops a new type of an infinitely oscillating behavior near the singularity. Only for certain discrete values of the event horizon radius…

General Relativity and Quantum Cosmology · Physics 2014-11-17 E. E. Donets , D. V. Gal'tsov , M. Yu. Zotov

The set of all possible spherically symmetric magnetic static Einstein-Yang-Mills field equations for an arbitrary compact semi-simple gauge group $G$ was classified in two previous papers. Local analytic solutions near the center and a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Todd A. Oliynyk , H. P. Kunzle

We consider black holes in EYM theory with a negative cosmological constant. The solutions obtained are somewhat different from those for which the cosmological constant is either positive or zero. Firstly, regular black hole solutions…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Winstanley

We obtain necessary and sufficient conditions for a supersymmetric field configuration in the N=(1,0) U(1) or SU(2) gauged supergravities in six dimensions, and impose the field equations on this general ansatz. It is found that any…

High Energy Physics - Theory · Physics 2009-11-10 Marco Cariglia , Oisin A. P. Mac Conamhna

We discuss the static axially symmetric regular solutions, obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory [1]. These asymptotically flat solutions are characterized by the winding number $n>1$ and the node…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

We construct an analytical black hole solution in the Einstein-Maxwell-Yang-Mills theory with a conformally coupled scalar field in four dimensions, which generalizes the charged Mart\'inez-Troncoso-Zanelli (MTZ) black hole in the presence…

High Energy Physics - Theory · Physics 2026-04-29 Luis Avilés , Borja Diez

We investigate the stability of spherically symmetric, purely magnetic, soliton and black hole solutions of four-dimensional ${\mathfrak {su}}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda $. These solutions…

General Relativity and Quantum Cosmology · Physics 2016-02-17 J. Erik Baxter , Elizabeth Winstanley

We present solutions to classical field equations for purely magnetic $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory in asymptotically Anti-de Sitter space. These solutions are found to be stable under linear, time-dependent…

General Relativity and Quantum Cosmology · Physics 2019-02-12 J. Erik Baxter

We present globally regular vortex-type solutions for a pure SU(2) Yang-Mills field coupled to gravity in 3+1 dimensions. These gravitating vortices are static, cylindrically symmetric and purely magnetic, and they support a non-zero…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Gal'tsov , Evgeny A. Davydov , Mikhail S. Volkov

We present the topological solutions of Einstein gravity in the presence of a non-Abelian Yang-Mills field. In ($n+1$) dimensions, we consider the $So(n(n-1)/2-1,1)$ semisimple group as the Yang-Mills gauge group, and introduce the black…

General Relativity and Quantum Cosmology · Physics 2014-11-20 N. Bostani , M. H. Dehghani

We start by revisiting the problem of finding BPS solutions in $\mathcal{N}=4$ SU(2)$\times$SU(2) gauged supergravity. We report on a new supersymmetric solution in the Abelian sector of the theory, which describes a soliton that is regular…

High Energy Physics - Theory · Physics 2022-02-23 Fabrizio Canfora , Julio Oliva , Marcelo Oyarzo

Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised ("particle-like") solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Robert A. Bartnik , Mark Fisher , Todd A. Oliynyk

We discuss the asymptotic form of the static axially symmetric, globally regular and black hole solutions, obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory.

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , Jutta Kunz

We investigate the phase space of topological black hole solutions of ${\mathfrak {su}}(N)$ Einstein-Yang-Mills theory in anti-de Sitter space with a purely magnetic gauge potential. The gauge field is described by $N-1$ magnetic gauge…

General Relativity and Quantum Cosmology · Physics 2016-01-08 J. Erik Baxter , Elizabeth Winstanley

In this paper, a procedure which gives euclidean solutions of 3-dimensional Einstein-Yang-Mills equations when one has solutions of the Einstein equations is proposed. The method is based on reformulating Yang-Mills theory in such a way…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Vincent Brindejonc