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The exact solutions of Einstein - Yang - Mills and interacting with SO (3) - Yang-Mills field nonlinear scalar field equations in a class of spatially homogeneous cosmological Friedmann models are obtained.

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. K. Shchigolev , M. V. Shchigolev

The Euclidean version of Yang-Mills theory coupled to a massive dilaton is investigated. Our analytical and numerical results imply existence of infinite number of branches of globally regular, spherically symmetric, dyonic type solutions…

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

The correspondence of the non-critical string theory and the Yang-Mills theory is examined according to the recent Polyakov's proposal, and two possible solutions of the bulk equations are addressed near the fixed points of the pure…

High Energy Physics - Theory · Physics 2008-11-26 Kazuo Ghoroku

In this Letter, we propose a model which is equivalent to the Yang-Mills theory at long distances but for which all symmetries are realized linearly. On top of the gauge and Fadeev-Popov ghosts fields, the model presents several massive…

High Energy Physics - Theory · Physics 2009-06-18 Matthieu Tissier , Nicolas Wschebor

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

General Relativity and Quantum Cosmology · Physics 2009-11-10 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Yasha Shnir

The solution of quantum Yang-Mills theory on arbitrary compact two-manifolds is well known. We bring this solution into a TQFT-like form and extend it to include corners. Our formulation is based on an axiomatic system that we hope is…

High Energy Physics - Theory · Physics 2008-11-26 Robert Oeckl

Numerical evidence is presented for the existence of a new family of static, globally regular `cosmological' solutions of the spherically symmetric Einstein-Yang-Mills-Higgs equations. These solutions are characterized by two natural…

General Relativity and Quantum Cosmology · Physics 2010-11-19 P. Breitenlohner , P. Forgács , D. Maison

The problem of cylindrically symmetric vacuum solutions of Brans-Dicke scalar fields has been studied. Exact solutions have been obtained for the vacuum B-D field equations for the cylindrically symmetric Einstein-Rosen metric. The…

General Physics · Physics 2017-01-13 Kangujam Priyokumar Singh , Chungkham Gokulchandra Singh

We study regular, static, spherically symmetric solutions of Yang-Mills theories employing higher order invariants of the field strength coupled to gravity in $d$ dimensions. We consider models with only two such invariants characterised by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Breitenlohner , Dieter Maison , D. H. Tchrakian

In this paper we derive 4-dimensional General Relativity from three dimensions, using the intrinsic spatial geometry inherent in Yang--Mills theory which has been exposed by previous authors as well as as some properties of the Ashtekar…

General Relativity and Quantum Cosmology · Physics 2012-02-20 Eyo Eyo Ita

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

In analogy with the standard derivation of the Schwarzschild solution, we find all static, cylindrically symmetric solutions of the Einstein field equations for vacuum. These include not only the well known cone solution, which is locally…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Cynthia S. Trendafilova , Stephen A. Fulling

The Yang-Mills theory associated with the restricted Lorentz group is revisited as a candidate for a theory of gravity. This is a natural idea because the principle of equivalence of gravitation and inertia suggests to introduce locally…

General Relativity and Quantum Cosmology · Physics 2020-06-01 Hans Christian Öttinger

We prove that there are no magnetically charged particle-like solutions for Abelian models in Einstein Yang-Mills, but for non-Abelian models the possibility remains open. An analysis of the Lie algebraic structure of the Yang-Mills fields…

General Relativity and Quantum Cosmology · Physics 2012-06-28 Mark Fisher , Todd A. Oliynyk

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 investigate Lie symmetries of general Yang-Mills equations. For this purpose, we first write down the second prolongation of the symmetry generating vector fields, and compute its action on the Yang-Mills equations. Determining equations…

Mathematical Physics · Physics 2015-05-26 Louis Marchildon

We study the classical solutions of the Einstein-Yang-Mills model in five dimensions in the presence of a cosmological constant $\Lambda$. Using a spherically symmetric ansatz and assuming that the fields do not depend on the extra…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Y. Brihaye , F. Bakkali Taheri

We show that General Relativity (GR) with cosmological constant may be formulated as a rather simple constrained SO(D-1,2) (or SO(D,1))-Yang-Mills (YM) theory. Furthermore, the spin connections of the Cartan-Einstein formulation for GR…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Botta Cantcheff

The Einstein equations with small positive cosmological constant coupled to an SU(2) Yang Mills field admits solutions that possess a coordinate singularity at a noncritical radius. Here, we prove that these solutions are otherwise globally…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alexander N. Linden

The careful analysis of the duality properties of Riemann's curvature tensor points to possibility of extension of Einstein's General Relativity to the nonabelian Yang-Mills theory. The motion equations of the theory are Yang-Mills'…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. L. Koshkarov