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The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein-Gordon systems is revisited. The linearized equation describing small deviations around the static solution leads to a Sturm-Liouville problem, which…

斑图形成与孤子 · 物理学 2022-11-30 Pablo Rabán , Renato Alvarez-Nodarse , Niurka R. Quintero

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…

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

The behaviour of magnetic monopole solutions of the Einstein-Yang-Mills-Higgs equations subject to linear spherically symmetric perturbations is studied. Using Jacobi's criterion some of the monopoles are shown to be unstable. Furthermore…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Helia Hollmann

We consider SU(N) Yang-Mills theory on the space R^1\times S^3 with Minkowski signature (-+++). The condition of SO(4)-invariance imposed on gauge fields yields a bosonic matrix model which is a consistent truncation of the plane wave…

高能物理 - 理论 · 物理学 2014-11-18 Alexander D. Popov

We discuss spherically symmetric, static solutions to the SU(2) sigma model on a de Sitter background. Despite of its simplicity this model reflects many of the features exhibited by systems of non-linear matter coupled to gravity e.g.…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Peter C. Aichelburg , Christiane Lechner

Some exact static solutions of the SU(2) Yang-Mills-Higgs theory are presented. These solutions satisfy the first order Bogomol'nyi equations, and possess infinite energies. They are axially symmetric and could possibly represent monopoles…

高能物理 - 理论 · 物理学 2009-10-31 Rosy Teh

We extend the relation between instanton and monopole solutions of the selfduality equations in SU(2) gauge theory to noncommutative space-times. Using this approach and starting from a noncommutative multi-instanton solution we construct a…

高能物理 - 理论 · 物理学 2009-11-10 D. H. Correa , P. Forgacs , E. F. Moreno , F. A. Schaposnik , G. A. Silva

Einstein-Yang-Mills-dilaton theory possesses sequences of neutral static spherically symmetric black hole solutions. The solutions depend on the dilaton coupling constant $\gamma$ and on the horizon. The SU(2) solutions are labelled by the…

高能物理 - 理论 · 物理学 2009-10-30 Burkhard Kleihaus , Jutta Kunz , Abha Sood

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…

高能物理 - 理论 · 物理学 2009-11-10 Yves Brihaye , Betti Hartmann , Eugen Radu

We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mills equations. For gauge fields invariant under the adjoint…

高能物理 - 理论 · 物理学 2008-12-18 Tatiana A. Ivanova , Olaf Lechtenfeld

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory in the topologically trivial sector, representing gravitating monopole--antimonopole pairs, linked to the Bartnik-McKinnon solutions.

高能物理 - 理论 · 物理学 2009-10-31 B. Kleihaus , J. Kunz

It is proven that there are precisely $n$ odd-parity sphaleron-like unstable modes of the $n$-th Bartnik-McKinnon soliton and the $n$-th non-abelian black hole solution of the Einstein-Yang-Mills theory for the gauge group $SU(2)$.

高能物理 - 理论 · 物理学 2016-09-06 M. S. Volkov , O. Brodbeck , G. Lavrelashvili , N. Straumann

A spherically symmetric monopole solution is found in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski spacetime. The action of the Yang-Mills fields is quartic in field strengths. The…

高能物理 - 理论 · 物理学 2011-01-25 Hironobu Kihara , Yutaka Hosotani , Muneto Nitta

Motivated by the recent works on the stability of symmetric periodic orbits of the elliptic Sitnikov problem, for time-periodic Newtonian equations with symmetries, we will study symmetric periodic solutions which are emanated from…

动力系统 · 数学 2019-05-10 Xiuli Cen , Xuhua Cheng , Zaitang Huang , Meirong Zhang

We investigated the SU(2) Einstein-Yang-Mills system on a time-dependent non-diagonal cylindrical symmetric space-time. From the numerical investigation, wave-like solutions are found, consistent with the familiar string-like features. They…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Reinoud J. Slagter

We continue our studies of spherically symmetric self-similar solutions in the SU(2) sigma model coupled to gravity. Using mixed numerical and analytical methods we show existence of an unstable periodic solution lying at the boundary…

广义相对论与量子宇宙学 · 物理学 2009-11-10 P. Bizoń , S. Szybka , A. Wassserman

We analyze the asymptotic stability of the $SU(n)$ Dark Monopole solutions and we show that there are unstable modes associated with them. We obtain the explicit form of the unstable perturbations and the associated negative-squared…

高能物理 - 理论 · 物理学 2020-05-13 M. L. Deglmann , Marco A. C. Kneipp

A static, spherically symmetric and purely magnetic solution of the Einstein-Yang-Mills-Dilaton theory, found previously by numerical integration is shown to obey a system of first order Bogomol'nyi equations. As common for such equations,…

高能物理 - 理论 · 物理学 2009-10-31 Mikhail S. Volkov , Dieter Maison

We present exact solutions in Einstein-Yang-Mills-Dirac theories with gauge groups SU(2) and SU(4) in Robertson-Walker space-time $R \times S^3 $, which are symmetric under the action of the group SO(4) of spatial rotations. Our approach is…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Gerd Rudolph , Torsten Tok , Igor P. Volobuev

We give exact solutions for a recently developed ~$N=1$~ locally supersymmetric self-dual gauge theories in $~(2+2)\-$dimensions. We give the exact solutions for an $~SL(2)$~ self-dual Yang-Mills multiplet and what we call ``self-dual…

高能物理 - 理论 · 物理学 2009-10-22 Hitoshi Nishino