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We discuss the new class of static axially symmetric black hole solutions obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are asymptotically flat and they possess a regular event…

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

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

We discuss black hole and black string solutions in d=5 Einstein-Yang-Mills theory with negative cosmological constant, proposing a method to compute their mass and action. The magnetic gauge field of these configurations does not vanish at…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , E. Radu

We present the topological solutions of Einstein-dilaton gravity in the presence of a non-Abelian Yang-Mills field. In 4 dimensions, we consider the $So(3)$ and $So(2,1)$ semisimple group as the Yang-Mills gauge group, and introduce the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 M. H. Dehghani , A. Bazrafshan

SU(3) Einstein-Yang-Mills-dilaton theory possesses sequences of static spherically symmetric sphaleron and black hole solutions for the SU(2) and the SO(3) embedding. The solutions depend on the dilaton coupling constant $\gamma$,…

High Energy Physics - Theory · Physics 2009-10-28 Burkhard Kleihaus , Jutta Kunz , Abha Sood

A continuum of monopole, dyon and black hole solutions exist in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. Their structure is studied in detail. The solutions are classified by non-Abelian electric and magnetic…

High Energy Physics - Theory · Physics 2008-11-26 J. Bjoraker , Y. Hosotani

In this paper we show that problem of proving the existence of a countable number of solutions to the static spherically symmetric SU(2) Einstein-Yang-Mills-dilaton (EYMd) equations can be reduced to proving the non-existence of solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Todd Oliynyk

We find a black hole solution with non-Abelian field in Brans-Dicke theory. It is an extension of non-Abelian black hole in general relativity. We discuss two non-Abelian fields: "SU(2)" Yang-Mills field with a mass (Proca field) and the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Takashi Tamaki , Takashi Torii , Kei-ichi Maeda

We describe the generalization of the recently derived solutions of D=2 supersymmetric Yang-Mills quantum mechanics with SU(3) gauge group to the generic case of SU(N) gauge group. We discuss the spectra and eigensolutions in bosonic as…

Mathematical Physics · Physics 2015-05-20 Piotr Korcyl

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 study the Yang-Mills-Higgs system within the framework of general relativity. In the static situation, using Bogomol'nyi type analysis, we derive a positive-definite energy functional which has a lower bound. Specializing to the gauge…

High Energy Physics - Phenomenology · Physics 2010-11-01 Nguyen Ai Viet , Kameshwar C. Wali

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 prove that any asymptotically flat solution to the spherically symmetric SU(2) Einstein-Yang/Mills equations is globally defined. This result applies in particular to the interior of colored black holes.

General Relativity and Quantum Cosmology · Physics 2010-11-19 J. A. Smoller , A. G. Wasserman

We investigated numerically dyon-like solutions of the SU(2) Einstein-Yang-Mills system on a cylindrically symmetric space time with a cosmological constant. We find a new kind of behaviour not found in the spherically symmetric models. For…

Mathematical Physics · Physics 2007-05-23 Reinoud J. Slagter

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

Symmetric gauge fields and invariant metrics in homogeneous spaces are found. Their use for finding exact solutions of the Einstein-Yang-Mills (EYM) equations is discussed.

General Relativity and Quantum Cosmology · Physics 2016-08-14 J. M. Mourão

We prove that static, spherically symmetric, asymptotically flat soliton and black hole solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups, at least for the ``generic" case. This conclusion is derived…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Othmar Brodbeck , Norbert Straumann

We present interesting relationship between what are called stationary axisymmetric black hole solutions for the vacuum Einstein equations in the ordinary four-dimensions and exact solutions for self-dual Yang-Mills fields in flat $2+2$…

High Energy Physics - Theory · Physics 2009-10-28 Hitoshi Nishino

We construct bona fide one- and two-center supersymmetric solutions to N=2, d=4 supergravity coupled to SU(2) non-Abelian vector multiplets. The solutions describe black holes and global monopoles alone or in equilibrium with each other and…

High Energy Physics - Theory · Physics 2015-06-23 Pablo Bueno , Patrick Meessen , Tomas Ortin , Pedro F. Ramirez

Exact solutions of the Klein-Gordon equation in an external non-Abelian gauge field with an SU(N) symmetry group have been obtained. The external field is a solution of the Yang-Mills equations and describes a plane wave on the light cone.…

High Energy Physics - Theory · Physics 2025-09-30 V. V. Parazian