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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

In this paper we study a new type of solution of the spherically symmetric, Einstein-Yang/Mills (EYM) equations with SU(2) gauge group. These solutions are well-behaved in the far-field, and have a Reissner-Nordstrom type essential…

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

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

We present new spherically symmetric solutions of an SU(2) Einstein-Yang-Mills model coupled to a doublet of scalar fields. Sequences of asymptotically flat, Yang-Mills-boson star-type configurations are constructed numerically by…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Betti Hartmann , Eugen Radu

We construct a new class of asymptotically flat black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are static, and they have a regular event horizon. However, they possess only…

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

We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called…

General Relativity and Quantum Cosmology · Physics 2018-12-14 J. Erik Baxter

Recently new Einstein-Yang-Mills (EYM) soliton solutions were presented which describe superconducting strings with Kasner asymptotic (hep-th/0610183). Here we study the static cylindrically symmetric SU(2) EYM system in more detail. The…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Gal'tsov , Evgeny A. Davydov

The aim of this note is to clarify the structure of nontrivial global solutions with nonpositive ADM mass for the static, spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. The presented numerical results…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. Yu. Zotov

Local solutions of the static, spherically symmetric Einstein-Yang-Mills (EYM) equations with SU(2) gauge group are studied on the basis of dynamical systems methods. This approach enables us to classify EYM solutions in the origin…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Yu. Zotov

We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number of stationary solutions which are all nonlinearly unstable.

Analysis of PDEs · Mathematics 2016-12-21 Dietrich Häfner , Cécile Huneau

In Einstein-Maxwell theory black holes are uniquely determined by their mass, their charge and their angular momentum. This is no longer true in Einstein-Yang-Mills theory. We discuss sequences of neutral and charged SU(N)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Kleihaus , J. Kunz , A. Sood , M. Wirschins

The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

General Relativity and Quantum Cosmology · Physics 2010-02-05 Christopher Eling , Ted Jacobson

We find that the four dimensional cosmological Einstein-Yang-Mills theory with $SU(2)$ gauge group admits Lifshitz spacetime as a base solution for the dynamical exponent $z>1$. Motivated by this, we next demonstrate numerically that the…

General Relativity and Quantum Cosmology · Physics 2014-06-25 Deniz Olgu Devecioglu

We discuss the recently discovered new class of globally regular and black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These asymptotically flat solutions are static and possess only axial symmetry. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. Kleihaus , J. Kunz

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

In this paper, we show the numerical solution for spherically symmetric SU(2) EinsteinYang-Mills (EYM) equations. We show the existence of entropy weak solution for EYM.

General Relativity and Quantum Cosmology · Physics 2023-07-21 Yuewen Chen , Jie Du , Shing-Tung Yau

We categorize the global structure of spherically symmetric static solutions of Einstein SU(2) Yang Mills equations with positive cosmological constant that are smooth at the center of spherical symmetry.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander N. Linden

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

We consider a spherically symmetric (magnetic) $SU(2)$ Yang-Mills field propagating on the exterior of the extremal Reissner-Nordstr\"om black hole. Taking advantage of the conformal symmetry, we reduce the problem to the study of the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Piotr Bizoń , Michał Kahl

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