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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 approach of metric-affine gravity initially distinguishes it from Einstein's general relativity. Using an independent affine connection produces a theory with 10+64 unknowns. We write down the Yang-Mills action for the affine connection…

General Relativity and Quantum Cosmology · Physics 2015-09-28 Vedad Pasic , Elvis Barakovic

In the pure Einstein-Yang-Mills theory in four dimensions there exist monopole and dyon solutions. The spectrum of the solutions is discrete in asymptotically flat or de Sitter space, whereas it is continuous in asymptotically anti-de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yutaka Hosotani , Jefferson Bjoraker

We prove the existence of the gravitating BPS monopole in Einstein-Yang-Mills-Higgs (EYMH) theory. Existence is established using a Newtonian perturbation argument which shows that a Yang-Mills-Higgs BPS monopole solution can be be…

General Relativity and Quantum Cosmology · Physics 2010-03-04 Todd 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 show that gravitating Merons in $D$-dimensional massive Yang-Mills theory can be mapped to solutions of the Einstein-Skyrme model. The identification of the solutions relies on the fact that, when considering the Meron ansatz for the…

High Energy Physics - Theory · Physics 2022-02-17 Marcelo Ipinza , Patricio Salgado-Rebolledo

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

We consider axially symmetric SU(2) Yang-Mills-Higgs (YMH) multimonopoles in Brans-Dicke theory for winding number n > 1. In analogy to the spherically symmetric n=1 solutions, we find that the axially symmetric solutions exist for higher…

High Energy Physics - Theory · Physics 2014-11-18 Betti Hartmann

We construct monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, carrying magnetic charge n. For vanishing and small Higgs selfcoupling, these multimonopole solutions are gravitationally bound. Their mass per unit charge is lower…

High Energy Physics - Theory · Physics 2009-10-31 Betti Hartmann , 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

New collective coordinates, related to the field at the `center' of the monopoles, are proposed. A systematic computation of the infrared properties of 2+1- and 3+1- dimensional Yang-Mills theory is now possible and is related to solutions…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. S. Sharatchandra

We present analytical and numerical results for static, spherically symmetric solutions of the Einstein Yang-Mills Higgs equations corresponding to magnetic monopoles and non-abelian magnetically charged black holes. In the limit of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Peter Breitenlohner , Peter Forgacs , Dieter Maison

We argue that in the infrared regime of continuum Yang-Mills theory, the possibility of a mass gap in the charged sector is closely associated with the center vortex sector. The analysis of the possible consequences of the ensembles of…

High Energy Physics - Theory · Physics 2009-03-24 L. E. Oxman

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

In this paper, we prove a convergence theorem for sequences of Einstein Yang-Mills systems on $U(1) $-bundles over closed $n$-manifolds with some bounds for volumes, diameters, $L^{2}$-norms of bundle curvatures and $L^{\frac{n}{2}}$-norms…

Differential Geometry · Mathematics 2012-01-04 Hongliang Shao

The evolution of physical and gauge degrees of freedom in the Einstein and Yang-Mills theories are separated in a gauge-invariant manner. We show that the equations of motion of these theories can always be written in flux-conservative…

General Relativity and Quantum Cosmology · Physics 2012-08-27 A. Abrahams , A. Anderson , Y. Choquet-Bruhat , J. W. York,

The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , P. K. Townsend

A gauge invariant infrared regularization of the Yang-Mills theory applicable beyond perturbation theory is constructed.

High Energy Physics - Theory · Physics 2015-06-12 A. A. Slavnov

A class of $ G $-invariant Einstein-Yang-Mills (EYM) systems with cosmological constant on homogeneous spaces $ G / H $, where $ G $ is a semisimple compact Lie group, is presented. These EYM--systems can be obtained in terms of dimensional…

General Relativity and Quantum Cosmology · Physics 2009-10-28 G. Rudolph , T. Tok

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