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It is shown that a generic black hole solution of the SU(2) Einstein-Yang-Mills equations develops a new type of an infinitely oscillating behavior near the singularity. Only for certain discrete values of the event horizon radius…

General Relativity and Quantum Cosmology · Physics 2014-11-17 E. E. Donets , D. V. Gal'tsov , M. Yu. Zotov

Recently E. E. Donets, D. V. Galtsov, and the author reported the results of numerical and analytical investigation of the SU(2) Einstein-Yang-Mills black hole interior solutions (gr-qc/9612067). It was shown that a generic interior…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Mikhail Zotov

Recent results concerning the internal structure of static spherically-symmetric non-Abelian black holes in the Einstein-Yang-Mills (EYM) theory and its generalizations including scalar fields are reviewed and discussed with an emphasis on…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Gal'tsov , E. E. Donets , M. Yu. Zotov

Singularities inside static spherically symmetric black holes in the SU(2) Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theories are investigated. Analytical formulas are presented describing oscillatory and power law metric behavior…

General Relativity and Quantum Cosmology · Physics 2010-11-19 D. V. Gal'tsov , E. E. Donets , M. Yu. Zotov

The Einstein-Yang-Mills equations are the source of many interesting solutions within general relativity, including families of particle-like and black hole solutions, and critical phenomena of more than one type. These solutions,…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Daniel Jackson

We consider the internal structure of the Skyrme black hole under a static and spherically symmetric ansatz. $@u8(Be concentrate on solutions with the node number one and with the "winding" number zero, where there exist two solutions for…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Takashi Tamaki , Kei-ichi Maeda , Takashi Torii

Recently it was shown that the Born-Infeld-type modification of the quadratic Yang-Mills action gives rise to classical particle-like solutions in the flat space which have a striking similarity with the Bartnik-McKinnon solutions known in…

High Energy Physics - Theory · Physics 2016-09-06 V. V. Dyadichev , D. V. Gal'tsov

This study investigates the thermodynamic and quantum properties of Einstein-Power-Yang-Mills (EPYM) black holes in an Anti-de Sitter background, focusing on the effects of the nonlinear Yang-Mills charge parameter $\gamma$. We derive the…

General Physics · Physics 2026-03-24 Erdem Sucu , İzzet Sakallı

Classical singularities inside black holes in the Einstein-Yang-Mills theory exhibit unusual features. Only for discrete values of the black hole mass one encounters singularities of the Schwarzschild type (timelike) and the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 D. V. Gal'tsov

In this paper we obtain an effective metric describing a regular and rotating magnetic black hole (BH) solution with a Yang-Mills electromagnetic source in Einstein-Yang-Mills (EYM) theory using the Newman--Janis algorithm via the…

General Relativity and Quantum Cosmology · Physics 2021-01-08 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Shao-Wen Wei , Qiang Wu , Anzhong Wang

It is well known that the U(1) Reissner-Nordstr\"om black hole is stable within the framework of the Einstein-Maxwell theory. However, the SU(2) Reissner-Nordstr\"om black-hole solution of the coupled Einstein-Yang-Mills equations is known…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Shahar Hod

We construct new black hole solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by their horizon radius and a pair of integers (k,n), where k is related to the polar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Marion Wirschins

We study classical solutions in the SU(2) Einstein-Yang-Mills-Higgs theory. The spherically symmetric ans\"atze for all fields are given and the equations of motion are derived as a system of ordinary differential equations. The asymptotics…

High Energy Physics - Theory · Physics 2022-09-28 Junji Jia

We construct rotating hairy black holes in SU(2) Einstein-Yang-Mills theory. These stationary axially symmetric black holes are asymptotically flat. They possess non-trivial non-Abelian gauge fields outside their regular event horizon, and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. Kleihaus , J. Kunz , F. Navarro-Lerida

This paper is devoted to investigating the nonlinear non-abelian Yang-Mills black holes. We consider three Born-Infeld, exponential, and logarithmic nonlinear Yang-Mills theories with $SO(n-1)$ and $SO(n-2,1)$ semi-simple groups, which n is…

General Relativity and Quantum Cosmology · Physics 2023-07-04 Fatemeh Masoumi Jahromi , Behrouz Mirza , Fatemeh Naeimipour , Soudabe Nasirimoghadam

In this paper we study the homogeneous interiors of black holes possessing SU(2) Yang-Mills fields subject to corrections inspired by loop quantum gravity. The systems studied possess both magnetic and induced electric Yang-Mills fields. We…

General Relativity and Quantum Cosmology · Physics 2018-05-17 Mason Protter , Andrew DeBenedictis

We prove that any asymptotically flat solution to the spherically symmetric SU(2) Einstein-Yang/Mills equations is globally defined. This result applies in particular to the interior of colored black holes.

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

We study the full time-domain evolution of gravitational perturbations in black hole spacetimes arising in Einstein-Weyl gravity, a renormalizable extension of general relativity containing quadratic curvature corrections. We analyze both…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Roman A. Konoplya , Andrea Spina , Alexander Zhidenko

We study the interior structure of the Einstein-Yang-Mills-Dilaton black holes as a function of the dilaton coupling constant $\gamma\in [0,1]$. For $\gamma\neq 0$ the solutions have no internal Cauchy horizons and the field amplitudes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Sarbach , N. Straumann , M. S. Volkov

We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein-Yang-Mills equations for any action of the rotation group (or SU(2)) by automorphisms of a principal bundle over space-time whose structure…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Todd A. Oliynyk , H. P. Kunzle
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