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In this paper we consider an $SU(2)$ Yang-Mills field propagating in the $4+1$ dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduces to a one dimensional non linear wave equation. This…

偏微分方程分析 · 数学 2025-11-20 Michał Kowalczyk , Javier Monreal

Spherically symmetric solutions of the SU(N) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz. The problem reduces to solving a set of ordinary differential equations for the appropriate profile functions. In…

高能物理 - 理论 · 物理学 2010-11-19 Yves Brihaye , Betti Hartmann , Theodora Ioannidou , Wojtek J. Zakrzewski

New static regular axially symmetric solutions of SU(2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers $m,n$. It…

高能物理 - 理论 · 物理学 2007-05-23 Ya. M. Shnir

We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification proceeds in two steps. We first extend solutions of the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Peter Breitenlohner , Peter Forgacs , Dieter Maison

We consider static spherically symmetric solutions of the Einstein equations with cosmological constant coupled to the SU(2) Yang Mills equations. We prove that most solutions can be continued back to the origin of spherical symmetry and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Alexander N. Linden

We consider the Einstein-Yang-Mills Lagrangian in a (4+n)-dimensional space-time. Assuming the matter and metric fields to be independent of the n extra coordinates, a spherical symmetric Ansatz for the fields leads to a set of coupled…

高能物理 - 理论 · 物理学 2010-11-19 Yves Brihaye , Fabien Clement , Betti Hartmann

We obtain exact static solutions of the $(n+1)$-dimensional SU(3) Yang-Mills equations for both flat and curved space-time cases with $n \le 3$. We find that the solutions obtained are confining functions for $n = 1, 2, 3$. We apply the…

高能物理 - 理论 · 物理学 2007-09-26 J. A. Sanchez-Monroy , C. J. Quimbay

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…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Peter Breitenlohner , Dieter Maison , D. H. Tchrakian

There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric…

高能物理 - 理论 · 物理学 2021-10-29 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa

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.

广义相对论与量子宇宙学 · 物理学 2023-07-21 Yuewen Chen , Jie Du , Shing-Tung Yau

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…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Arthur G. Wasserman

We construct solutions of an Einstein-Yang-Mills system including a cosmological constant in 4+n space-time dimensions, where the n-dimensional manifold associated with the extra dimensions is taken to be Ricci flat. Assuming the matter and…

高能物理 - 理论 · 物理学 2010-11-19 Yves Brihaye , Betti Hartmann

We consider corotational wave maps from Minkowski spacetime into the sphere and the equivariant Yang-Mills equation for all energy-supercritical dimensions. Both models have explicit self-similar finite time blowup solutions, which continue…

偏微分方程分析 · 数学 2025-04-18 Roland Donninger , Matthias Ostermann

A continuum of new monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space are found. They are regular everywhere and specified with their mass, and non-Abelian electric and magnetic charges. A…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jefferson Bjoraker , Yutaka Hosotani

We investigate Non-Linear Plane-Wave solutions of the classical Minkowskian Yang-Mills (YM) equations of motion. By imposing a suitable ansatz which solves Gauss' law for the $SU(3)$ theory, we derive solutions which consist of Jacobi…

高能物理 - 理论 · 物理学 2016-04-13 A. Tsapalis , E. P. Politis , X. N. Maintas , F. K. Diakonos

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 $\gamma$,…

高能物理 - 理论 · 物理学 2009-10-28 Burkhard Kleihaus , Jutta Kunz , Abha Sood

We construct numerically new axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in $(3+1)$ anti-de Sitter spacetime. Two types of finite energy, regular configurations are considered: multimonopole solutions with magnetic charge…

高能物理 - 理论 · 物理学 2009-11-10 Eugen Radu , D. H. Tchrakian

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…

高能物理 - 理论 · 物理学 2009-11-10 Yves Brihaye , Fabien Clement , Betti Hartmann

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…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Eugen Radu

We investigated numerically dyon-like solutions of the SU(2) Einstein-Yang-Mills system on a cylindrically symmetric space time with a cosmological constant. We find a new kind of behaviour not found in the spherically symmetric models. For…

数学物理 · 物理学 2007-05-23 Reinoud J. Slagter