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We study dyonic soliton and black hole solutions of the ${\mathfrak {su}}(2)$ Einstein-Yang-Mills equations in asymptotically anti-de Sitter space. We prove the existence of non-trivial dyonic soliton and black hole solutions in a…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Brien C. Nolan , Elizabeth Winstanley

We present a systematic study of spherically symmetric self-dual solutions of SU(2) Yang-Mills theory on Euclidean Schwarzschild space. All the previously known solutions are recovered and a new one-parameter family of instantons is…

Mathematical Physics · Physics 2010-01-06 Ricardo A. Mosna , Gustavo Marques Tavares

We present new soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. These solutions are described by N+1 independent parameters, and have N-1 gauge field degrees of freedom. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. E. Baxter , Marc Helbling , Elizabeth Winstanley

Spherically symmetric solutions of the SU(5) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz \cite{IS}. This way the problem reduces to solving a set of ordinary differential equations for the appropriate…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Theodora Ioannidou

We show how matter can be included in a constrained ADM-like formulation of the Einstein equations on constant mean curvature surfaces. Previous results on the regularity of the equations at future null infinity are unaffected by the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Oliver Rinne , Vincent Moncrief

We derive a generalization of the flat space Yang's and Newman's equations for self-dual Yang-Mills fields to (locally) conformally Kahler Riemannian 4-manifolds. The results also apply to Einstein metrics (whose full curvature is not…

Differential Geometry · Mathematics 2022-05-18 Bernardo Araneda

Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Christian G. Boehmer

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

Einstein equations with $T_{\mu\nu} = k_\mu k_\nu + \ell_\mu \ell_\nu$ where $k, \ell$ are null are considered with spherical symmetry and staticity. The solution has naked singularity and is not asymptotically flat. However, it may be…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Date

The gradient flow of the Yang-Mills action acts pointwise on closed loops of gauge fields. We construct a topologically nontrivial loop of SU(2) gauge fields on S4 that is locally stable under the flow. The stable loop is written explicitly…

High Energy Physics - Theory · Physics 2010-08-24 Daniel Friedan

We study the 5-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski", "quasi anti-de…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Naoya Okuyama , Kei-ichi Maeda

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 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.

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , J. Kunz

We investigate black hole solutions in the mimetic extension of the Einstein-Yang-Mills system, in which the Yang-Mills term is constrained to be constant. In the Abelian U(1) case, we find a static spherically symmetric solution that…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mohammad Ali Gorji , Susmita Jana , Pavel Petrov

We here investigate static, spherically symmetric solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$ in the case of dyonic solutions, which possess a non-trivial electric sector…

General Relativity and Quantum Cosmology · Physics 2019-08-29 J. Erik Baxter

We study the static and spherically symmetric exact solution of the Einstein-massless scalar equations given by Janis, Newman and Winicour. We find that this solution satisfies the weak energy condition and has strong globally naked…

General Relativity and Quantum Cosmology · Physics 2009-10-28 K. S. Virbhadra , S. Jhingan , P. S. Joshi

The theoretical description of compact structures that share some key features with mass varying particles allows for a simple analysis of equilibrium and stability for massive stellar bodies. We investigate static, spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-01-05 Alex E. Bernardini , O. Bertolami

We consider axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in globally AdS spacetime and a fixed Schwarzschild-AdS black hole background. The solutions are characterized by two integers $(m,n)$ where $m$ is related to the…

High Energy Physics - Theory · Physics 2013-05-30 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

We consider the dynamical stability of a class of static, spherically-symmetric solutions of the nonsymmetric gravitational theory. We numerically reproduce the Wyman solution and generate new solutions for the case where the theory has a…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. A. Clayton , L. Demopoulos , J. Legare

In this work a static spherically symmetric black hole's solution within the Einstein-Maxwell-Yang-Mills-dilaton theory is derived. The obtained solution is examined, in particular, we have calculated the Kretschmann scalar which allowed us…

High Energy Physics - Theory · Physics 2021-03-24 M. M. Stetsko