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Spherically symmetric static vacuum solutions have been built in $f(T)$ models of gravity theory. We apply some conditions on the metric components; then the new vacuum spherically symmetric solutions are obtained. Also, by extracting…

General Relativity and Quantum Cosmology · Physics 2013-11-19 K. Atazadeh , Misha Mousavi

We prove that static, spherically symmetric, asymptotically flat, regular solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups, at least for the ``generic" case. This conclusion is derived without explicit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Othmar Brodbeck , Norbert Straumann

We construct bona fide one- and two-center supersymmetric solutions to N=2, d=4 supergravity coupled to SU(2) non-Abelian vector multiplets. The solutions describe black holes and global monopoles alone or in equilibrium with each other and…

High Energy Physics - Theory · Physics 2015-06-23 Pablo Bueno , Patrick Meessen , Tomas Ortin , Pedro F. Ramirez

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

For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix h\theta^{\mu\nu}, we construct smooth monopole --and, some two-monopole-- fields that solve the noncommutative…

High Energy Physics - Theory · Physics 2010-10-27 C. P. Martin , C. Tamarit

For gauge groups SO$(n{+}1)$, SU$(m{+}1)$ and Sp$(\ell{+}1)$, we construct equivariant Yang-Mills solutions on de Sitter space in $n{+}1$, $2(m{+}1)$ and $4(\ell{+}1)$ spacetime dimensions. The latter is conformally mapped to a finite…

High Energy Physics - Theory · Physics 2018-10-17 Olaf Lechtenfeld , Gönül Ünal

The purpose of this paper is to obtain exact solutions for charged anisotropic spherically symmetric matter configuration. For this purpose, we consider known solution for isotropic spherical system in the presence of electromagnetic field…

General Relativity and Quantum Cosmology · Physics 2018-07-04 M. Sharif , Sobia Sadiq

There is remarkable relation between self-dual Yang-Mills and self-dual Einstein gravity in four Euclidean dimensions. Motivated by this we investigate the Spin(7) and G_2 invariant self-dual Yang-Mills equations in eight and seven…

High Energy Physics - Theory · Physics 2009-11-07 Konstadinos Sfetsos

Recent interest in horizontal symmetry model building has been driven mainly by the large top mass and hence strong hierarchy in quark masses, and the possibility of appropriately constrained soft squark mass matrices, in place of an…

High Energy Physics - Phenomenology · Physics 2009-10-28 Paul H. Frampton , Otto C. W. Kong

In this paper we study (static) solutions of the rank 2 Yang-Mills-Higgs equations on the Riemann sphere, with concical singularities, that bifurcate from constant curvature connections. We focus attention on the case where there are…

Mathematical Physics · Physics 2024-04-18 Nicholas M. Ercolani

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,…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail S. Volkov , Dieter Maison

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…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Eugen Radu

These are expanded notes of lectures given at the Advanced Summer School on Modern Mathematical Physics (JINR Dubna, July 2005) and at the 8th International School-Seminar ``The actual problems of microworld physics 2005'' (Gomel-Dubna,…

High Energy Physics - Theory · Physics 2007-05-23 Yasha Shnir

Recent works by the second author and Maxwell et al. have shown that the Einstein-scalar field conformal constraint equations are highly complex and generally intractable, even in the vacuum case. In this article, to gain a clearer…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Philippe Castillon , Cang Nguyen-The

SU(4) Einstein-Yang-Mills theory possesses sequences of static spherically symmetric globally regular and black hole solutions. Considering solutions with a purely magnetic gauge field, based on the 4-dimensional embedding of $su(2)$ in…

High Energy Physics - Theory · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Abha Sood , Marion Wirschins

We have obtained exact kink-like static plane-symmetric solutions to the self-consistent system of electromagnetic, scalar, and gravitational field equations. It was shown that under certain choice of the interaction Lagrangian the…

Mathematical Physics · Physics 2012-12-07 D. S. Kulyabov , Yu. P. Rybakov , G. N. Shikin , L. P. Yuschenko

We construct a large family of Euclidean supersymmetric wormhole solutions of type IIB supergravity which are asymptotically AdS$_5 \times S^5$. The solutions are constructed using consistent truncation to maximally gauged supergravity in…

High Energy Physics - Theory · Physics 2023-09-07 Davide Astesiano , Fridrik Freyr Gautason

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

A supersymmetric solution to type II supergravity is constructed by superposing two hyperk\"ahlers with torsion metrics. The solution is given by a K\"aler with torsion metric with $SU(3)$ holonomy. The metric is embedded into a heterotic…

High Energy Physics - Theory · Physics 2015-01-12 Kazuki Hinoue , Shun'ya Mizoguchi , Yukinori Yasui

Spherically and cylindrically symmetric solutions of SU(3) Yang-Mills theory are found, whose gauge potentials have confining properties. The spherically symmetric solutions give field distributions which have a spherical surface on which…

High Energy Physics - Theory · Physics 2007-05-23 V. Dzhunushaliev , D. Singleton