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It is shown analytically that every static, spherically symmetric solution to the Einstein Yang Mills equations with SU(2) gauge group that is defined in the far field has finite ADM mass. Moreover, there can be at most two horizons for…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Arthur G. Wasserman

We prove that static, spherically symmetric, asymptotically flat, regular solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups, at least for the ``generic" case. This conclusion is derived without explicit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Othmar Brodbeck , Norbert Straumann

We investigate static axially symmetric monopole and black hole solutions with magnetic charge n > 1 in Einstein-Yang-Mills-Higgs theory. For vanishing and small Higgs selfcoupling, multimonopole solutions are gravitationally bound. Their…

High Energy Physics - Theory · Physics 2009-11-07 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz

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

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 investigate dyonic black hole and dyon solutions of four-dimensional $SU(N)$ Einstein-Yang-Mills theory with a negative cosmological constant. We derive a set of field equations in this case, and prove the existence of non-trivial…

General Relativity and Quantum Cosmology · Physics 2016-02-04 J. Erik Baxter

We explicitly construct static black hole solutions to the fully non-linear, D=4, Einstein-Maxwell-AdS equations that have no continuous spatial symmetries. These black holes have a smooth, topologically spherical horizon (section), but…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Carlos A. R. Herdeiro , Eugen Radu

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

We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein-Yang-Mills equations for any action of the rotation group (or SU(2)) by automorphisms of a principal bundle over space-time whose structure…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Todd A. Oliynyk , H. P. Kunzle

We study the classical theory of a non-Abelian gauge field (gauge group $SU(2)$) coupled to a massive dilaton, massive axion and Einstein gravity. The theory is inspired by the bosonic part of the low-energy heterotic string action for a…

High Energy Physics - Theory · Physics 2010-11-01 Christopher M. O'Neill

We study the phase space of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein-Gauss- Bonnet action. We show the existence of solutions with nonflat asymptotic behavior.

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Mignemi

Black hole solutions with nonspherical event horizon topology are shown to exist in an Einstein-Yang-Mills theory with negative cosmological constant. The main characteristics of the solutions are presented and differences with respect to…

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

We construct finite mass, asymptotically flat black hole solutions in d=4 Einstein-Yang-Mills theory augmented with higher order curvature terms of the gauge field. They possess non-Abelian hair in addition to Coulomb electric charge, and,…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Eugen Radu , D. H. Tchrakian

We consider Maxwell and Yang-Mills (YM) fields together, interacting through gravity both in Einstein and Gauss-Bonnet (GB) theories. For this purpose we choose two different sets of Maxwell and metric ansaetze. In our first ansatz,…

General Relativity and Quantum Cosmology · Physics 2009-11-13 S. Habib Mazharimousavi , M. Halilsoy

This short note compares different methods to prove that Einstein-Dirac systems have no static, spherically symmetric solutions.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Felix Finster , Joel Smoller , Shing-Tung Yau

We present exact spherically symmetric dyonic black hole solutions in four-dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potentials for the dilaton field. These solutions have unusual asymptotics--they are neither…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stoytcho S. Yazadjiev

We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-$\sigma$ model (EYMD-$\sigma$) on a static spacetime, showing that the Einstein equations are satisfied if and only if the associated (conformally scaled) three-metric is…

High Energy Physics - Theory · Physics 2008-11-26 H. W. Braden , V. Varela

We consider the classical equations of the Einstein-Yang-Mills model in five space-time dimensions and in the presence of a cosmological constant. We assume that the fields do not depend on the extra dimension and that they are spherically…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate

We consider globally regular and black holes solutions for the Einstein-Yang-Mills system with negative cosmological constant in $d-$spacetime dimensions. We find that the ADM mass of the spherically symmetric solutions generically diverges…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Eugen Radu , D. H. Tchrakian

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
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