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Related papers: New solution of Einstein-Yang-Mills equations

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Asymptotic symmetries of the Einstein-Yang-Mills system with or without cosmological constant are explicitly worked out in a unified manner. In agreement with a recent conjecture, one finds a Virasoro-Kac-Moody type algebra not only in…

High Energy Physics - Theory · Physics 2013-11-20 Glenn Barnich , Pierre-Henry Lambert

We discuss new exact spherically symmetric static solutions to non-minimally extended Einstein-Yang-Mills equations. The obtained solution to the Yang-Mills subsystem is interpreted as a non-minimal Wu-Yang monopole solution. We focus on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alexander B. Balakin , Alexei E. Zayats

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 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

We derive the spectra of D=2, SU(3) supersymmetric Yang-Mills quantum mechanics in all fermionic sectors. Moreover, we provide exact expressions for the corresponding eigenvectors in the sectors with none and one fermionic quantum. We also…

Mathematical Physics · Physics 2011-04-11 Piotr Korcyl

We consider an Einstein-Yang-Mills Lagrangian in a five dimensional space-time including a cosmological constant. Assuming all fields to be independent of the extra coordinate, a dimensional reduction leads to an effective (3+1)-dimensional…

High Energy Physics - Theory · Physics 2010-11-19 Betti Hartmann , Yves Brihaye , Bruno Bertrand

We present a classification of the possible regular, spherically symmetric solutions of the Einstein-Yang-Mills system which is based on a bundle theoretical analysis for arbitrary gauge groups. It is shown that such solitons must be of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 O. Brodbeck , N. Straumann

The application of N=2 supersymmetric quantum mechanics for the quantization of homogeneous systems coupled with gravity is discussed. Starting with the superfield formulation of an N=2 SUSY sigma model, Hermitian self-adjoint expressions…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. E. Donets , M. N. Tentyukov , M. M. Tsulaia

We describe the generalization of the recently derived solutions of D=2 supersymmetric Yang-Mills quantum mechanics with SU(3) gauge group to the generic case of SU(N) gauge group. We discuss the spectra and eigensolutions in bosonic as…

Mathematical Physics · Physics 2015-05-20 Piotr Korcyl

Singularities inside static spherically symmetric black holes in the SU(2) Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theories are investigated. Analytical formulas are presented describing oscillatory and power law metric behavior…

General Relativity and Quantum Cosmology · Physics 2010-11-19 D. V. Gal'tsov , E. E. Donets , M. Yu. Zotov

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

Recently E. E. Donets, D. V. Galtsov, and the author reported the results of numerical and analytical investigation of the SU(2) Einstein-Yang-Mills black hole interior solutions (gr-qc/9612067). It was shown that a generic interior…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Mikhail Zotov

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

The Cauchy matrix approach is developed to solve the SU(2) self-dual Yang--Mills equation. Starting from a Sylvester matrix equation coupled with certain dispersion relation for infinite coordinates, the self-dual Yang--Mills equation under…

Exactly Solvable and Integrable Systems · Physics 2021-12-14 Shangshuai Li , Changzheng Qu , Xiangxuan Yi , Da-jun Zhang

In [hep-th/9907222] Hannibal claims to exclude the existence of particle-like static axially symmetric non-abelian solutions in SU(2) Einstein-Yang-Mills-dilaton theory. His argument is based on the asymptotic behaviour of such solutions.…

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

In this paper, we present all constant solutions of the Yang-Mills equations with ${\rm SU}(2)$ gauge symmetry for an arbitrary constant non-Abelian current in Euclidean space ${\mathbb R}^n$ of arbitrary finite dimension $n$. Using the…

Mathematical Physics · Physics 2020-03-03 D. S. Shirokov

We find a new property in $W^2$-conformal gravity in spherical symmetry. We demonstrate that the charge of the electromagnetic field varies with respect to the partial scaling symmetry (conformal transformations in subspaces of a spacetime)…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Hongsheng Zhang

We construct new family of spherically symmetric regular solutions of $SU(2)$ Yang-Mills theory coupled to pure $R^2$ gravity. The particle-like field configurations possess non-integer non-Abelian magnetic charge. A discussion of the main…

High Energy Physics - Theory · Physics 2019-05-03 Ilya Perapechka , Yakov Shnir

We give the overview of solution techniques for the general conformally-invariant linear and nonlinear wave equations centered around the idea of dimensional reductions by their symmetry groups. The efficiency of these techniques is…

High Energy Physics - Theory · Physics 2007-05-23 R. Z. Zhdanov , V. I. Lagno

We present a class of solutions in Einstein-Yang-Mills-systems with arbitrary gauge groups and space-time dimensions, which are symmetric under the action of the group of spatial rotations. Our approach is based on the dimensional reduction…

General Relativity and Quantum Cosmology · Physics 2010-11-19 G. Rudolph , T. Tok , I. Volobuev