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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 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

A self-consistent non-minimal non-Abelian Einstein-Yang-Mills model, containing three phenomenological coupling constants, is formulated. The ansatz of a vanishing Yang-Mills induction is considered as a particular case of the self-duality…

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

The coupled Einstein-Yang-Mills equations on a time dependent axially symmetric spacetime are investigated, without a priori any conditions on the gauge field. There is numerical evidence for the existence of a regular solution with the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reinoud J. Slagter

We present a model in which the cosmological constant emerges as a purely geometric effect from the four-dimensional compactification of five-dimensional Einstein-Chern-Simons gravity. The compactification of the extra dimension generates…

General Relativity and Quantum Cosmology · Physics 2026-04-03 M. Cataldo , S. Lepe , C. Riquelme , P. Salgado

The classical solutions to higher dimensional Yang--Mills (YM) systems, which are integral parts of higher dimensional Einstein--YM (EYM) systems, are studied. These are the gravity decoupling limits of the fully gravitating EYM solutions.…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , D. H. Tchrakian

We consider an eight-dimensional Einstein-Yang-Mills theory to explore whether Yang-Mills instantons formed in extra dimensions can induce the dynamical instability of our four-dimensional spacetime. We show that the Yang-Mills instantons…

High Energy Physics - Theory · Physics 2018-12-18 Kyung Kiu Kim , Seoktae Koh , Hyun Seok Yang

We study the deformation theory of the Einstein-Yang-Mills system on a principal bundle with a compact structure group over a compact manifold. We first construct, as an application of the general slice theorem of Diez and Rudolph, a smooth…

Differential Geometry · Mathematics 2025-07-18 Severin Bunk , Vicente Muñoz , C. S. Shahbazi

We study the classical solutions of the Einstein-Yang-Mills model in five dimensions in the presence of a cosmological constant $\Lambda$. Using a spherically symmetric ansatz and assuming that the fields do not depend on the extra…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Y. Brihaye , F. Bakkali Taheri

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…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Fabien Clement , Betti Hartmann

The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

High Energy Physics - Theory · Physics 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

We present a numerical solution on a 5-dimensional spherically symmetric space time, in Einstein-Yang-Mills-Gauss-Bonnet theory using a two point boundary value routine. It turns out that the Gauss-Bonnet contribution has a profound…

General Relativity and Quantum Cosmology · Physics 2015-05-13 R. J. Slagter

We consider $10$-dimensional gravitational model with $SO(6)$ Yang-Mills field, Gauss-Bonnet term and $\Lambda$-term. We study so-called cosmological type solutions defined on product manifold $M = R \times R^3 \times K$, where $K$ is $6d$…

General Relativity and Quantum Cosmology · Physics 2023-03-28 V. D. Ivashchuk , K. K. Ernazarov , A. A. Kobtsev

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

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

We study the possibility that the vacuum energy density of scalar and internal-space gauge fields arising from the process of dimensional reduction of higher dimensional gravity theories plays the role of quintessence. We show that, for the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. C. Bento , O. Bertolami

We consider static spherically symmetric solutions of Einstein's equations coupled to an SU(2) Yang Mills field that are smooth at the center of spherical symmetry. We prove that with small cosmological constant there exist solutions that…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Alexander N. Linden

We study solutions of the Wheeler-DeWitt equation obtained when considering homogeneous and isotropic (up to a gauge transformation) field configurations of the Einstein-Yang-Mills system in $D=4+d$ dimensions with an $R \times S^3 \times…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Bertolami , P. D. Fonseca , P. V. Moniz

We prove the exterior stability of the Minkowski space-time, $\mathbb{R}^{1+3}$, solution to the Einstein-Yang-Mills system in both the Lorenz and harmonic gauges, where the Yang-Mills fields are valued in any arbitrary Lie algebra…

Analysis of PDEs · Mathematics 2023-10-13 Sari Ghanem

Superstring theories in ten dimensions allow spacetime supersymmetry breaking at the string scale at the expense of controlled Minkowski backgrounds. The next-to-maximally symmetric backgrounds, found by Dudas and Mourad, involve a warped…

High Energy Physics - Theory · Physics 2022-10-26 Ivano Basile , Salvatore Raucci , Sylvain Thomée