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We present a unified treatment of classical solutions of noncommutative gauge theories. We find all solutions of the noncommutative Yang-Mills equations in 2 dimensions; and show that they are labelled by two integers -- the rank of gauge…

High Energy Physics - Theory · Physics 2010-02-03 David J. Gross , Nikita A. Nekrasov

The classical Yang--Mills equations are analyzed within the geometrical framework of an effective gravity theory. Exact analytical solutions are derived for the cylindrically symmetric configurations of the coupled gauge and isoscalar…

High Energy Physics - Theory · Physics 2007-05-23 Yuri N. Obukhov

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 here investigate static, spherically symmetric solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$ in the case of dyonic solutions, which possess a non-trivial electric sector…

General Relativity and Quantum Cosmology · Physics 2019-08-29 J. Erik Baxter

New static regular axially symmetric solutions of SU(2) Yang-Mills-Higgs theory are constructed. They are asymptotically flat and represent gravitating monopole-monopole pairs. The solutions form two branches linked to the second…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasha Shnir

We point out that the statements in [hep-th/9903063] concerning the regularity of static axially symmetric solutions in Yang-Mills-dilaton (YMD) [1] and Einstein-Yang-Mills(-dilaton) (EYMD) theory [2,3] are incorrect, and that the…

High Energy Physics - Theory · Physics 2007-05-23 B. Kleihaus , J. Kunz

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

The coupled Einstein-Yang-Mills equations on a time dependent axially symmetric spacetime are investigated, without a priori any conditions on the gauge field. There is numerical evidence for the existence of a regular solution with the…

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

The aim of the present letter is to critically review the stability of the Bartnik-McKinnon solutions of the Einstein-Yang-Mills theory. The stability question was already studied by several authors, but there seems to be some confusion…

High Energy Physics - Theory · Physics 2010-11-01 George Lavrelashvili , Dieter Maison

We analyze the stability properties of the purely magnetic, static solutions to the Einstein--Yang--Mills equations with cosmological constant. It is shown that all three classes of solutions found in a recent study are unstable under…

High Energy Physics - Theory · Physics 2009-10-30 O. Brodbeck , M. Heusler , G. Lavrelashvili N. Straumann , M. S. Volkov

The regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory is examined. We show that the solutions obtained previously within a singular Ansatz for the non-abelian gauge field can be gauge transformed into a…

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

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Fabien Clement , Betti Hartmann

We present arguments for the existence of a new type of solutions of the Euclidean Einstein-Yang-Mills-dilaton theory in $d=4$ dimensions. Possesing nonvanishing nonabelian charges, these nonselfdual configurations have no counterparts on…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Y. Brihaye , E. Radu

Classical solutions of the Yang-Mills-dilaton theory in Euclidean space-time are investigated. Our analytical and numerical results imply existence of infinite number of branches of dyonic type solutions labelled by the number of nodes of…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , G. Lavrelashvili

We investigate the stability of four-dimensional dyonic soliton and black hole solutions of ${\mathfrak {su}}(2)$ Einstein-Yang-Mills theory in anti-de Sitter space. We prove that, in a neighbourhood of the embedded trivial…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Brien C. Nolan , Elizabeth Winstanley

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 study two classes of static uniform black string solutions in a (4+1)-dimensional SU(2) Einstein-Yang-Mills model. These configurations possess a regular event horizon and corresponds in a 4-dimensional picture to axially symmetric black…

High Energy Physics - Theory · Physics 2013-05-29 Y. Brihaye , B. Hartmann , E. Radu

SU(4) Einstein-Yang-Mills theory possesses sequences of static spherically symmetric globally regular and black hole solutions. Considering solutions with a purely magnetic gauge field, based on the 4-dimensional embedding of $su(2)$ in…

High Energy Physics - Theory · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Abha Sood , Marion Wirschins

A general relation for the total angular momentum of a regular solution of the Einstein-Yang-Mills-Higgs equations is derived. Two different physical configurations, rotating dyons and rotating magnetic dipoles are discussed as particular…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. J. van der Bij , Eugen Radu

New solutions to the static, spherically symmetric Einstein-Yang-Mills-Higgs equations with the Higgs field in the triplet resp. doublet representation are presented. They form continuous families parametrized by $\alpha=M_W/M_Pl$ ($M_W$…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Forgacs , Sebastien Reuillon