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Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised ("particle-like") solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Robert A. Bartnik , Mark Fisher , Todd A. Oliynyk

Using the Kaluza-Klein structure of stationary spacetimes, a framework for analyzing stationary perturbations of static Einstein-Yang-Mills configurations with bosonic matter fields is presented. It is shown that the perturbations giving…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Othmar Brodbeck , Markus Heusler

The properties of hairy black holes in Einstein-Yang-Mills (EYM) theory are reviewed, focusing on spherically symmetric solutions. In particular, in asymptotically anti-de Sitter space (adS) stable black hole hair is known to exist for…

General Relativity and Quantum Cosmology · Physics 2009-01-28 Elizabeth Winstanley

In Einstein-Maxwell theory black holes are uniquely determined by their mass, their charge and their angular momentum. This is no longer true in Einstein-Yang-Mills theory. We discuss sequences of neutral and charged SU(N)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Kleihaus , J. Kunz , A. Sood , M. Wirschins

We construct globally regular as well as non-abelian black hole solutions of a higher order curvature Einstein-Yang-Mills (EYM) model in $d=5$ dimensions. This model consists of the superposition of the first two members of the…

High Energy Physics - Theory · Physics 2009-11-07 Yves Brihaye , A. Chakrabarti , Betti Hartmann , D. H. Tchrakian

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…

General Relativity and Quantum Cosmology · Physics 2010-11-19 J. A. Smoller , A. G. Wasserman

The dynamics of small perturbations around sphaleron and black hole solutions in the Einstein-Yang-Mills theory for the gauge group $SU(2)$ is investigated. The perturbations can be split into the two independent sectors in accordance with…

High Energy Physics - Theory · Physics 2007-05-23 Mikhail S. Volkov

We analyze the stability properties of the purely magnetic, static solutions to the Einstein--Yang--Mills equations with cosmological constant. It is shown that all three classes of solutions found in a recent study are unstable under…

High Energy Physics - Theory · Physics 2009-10-30 O. Brodbeck , M. Heusler , G. Lavrelashvili N. Straumann , M. S. Volkov

We discuss the recently discovered new class of globally regular and black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These asymptotically flat solutions are static and possess only axial symmetry. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. Kleihaus , J. Kunz

We construct non-BPS regular and black hole solutions of N=4 SU(N) supersymmetric Yang-Mills theory coupled to Einstein gravity. Our numerical studies reveal a number of interesting phenomena when the gravitational constant…

High Energy Physics - Theory · Physics 2010-02-03 Theodora Ioannidou , Burkhard Kleihaus

This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Hao Hu , Guoxiong Zhu

We study Einstein-Yang-Mills (EYM) black holes in semiclassical gravity by including in the field equations the expectation value of a renormalized energy-momentum tensor in the Polyakov approximation. We solve the field equations and the…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Ben Kain

We find large classes of non-asymptotically flat Einstein-Yang-Mills-Dilaton (EYMD) and Einstein-Yang-Mills-Born-Infeld-Dilaton (EYMBID) black holes in N-dimensional spherically symmetric spacetime expressed in terms of the quasilocal mass.…

General Relativity and Quantum Cosmology · Physics 2010-05-25 S. Habib Mazharimousavi , M. Halilsoy , Z. Amirabi

We construct both regular and black hole spherically symmetric solutions to the original higher curvature EYM model augmented by a Grassmannian sigma model field in $d=5$ spacetime dimensions. Unlike the original model, the new model…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Eugen Radu , D. H. Tchrakian

We consider asymptotically flat static spherically symmetric black hole solutions in SU(N) Einstein-Yang-Mills theory. Embedding the N-dimensional representation of $su(2)$ in $su(N)$, the purely magnetic gauge field ansatz contains $N-1$…

High Energy Physics - Theory · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz , Abha Sood

Black hole solutions with nonspherical event horizon topology are shown to exist in an Einstein-Yang-Mills theory with negative cosmological constant. The main characteristics of the solutions are presented and differences with respect to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. J. van der Bij , Eugen Radu

The space-time geometry under investigation is chosen to be a high-dimensional, static, spherically symmetric solution in an asymptotically flat background within the Einstein-power-Yang-Mills-Gauss-Bonnet (EPYMGB) gravity. To address the…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Zening Yan

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

Time-dependent spherically-symmetric perturbations of Schwarzschild black holes are studied within torsion bigravity, i.e., within generalized Einstein-Cartan theories where the dynamical torsion carries massive spin-2 excitation. We reduce…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Vasilisa Nikiforova

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson