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We provide a set of exact solutions of the classical Yang-Mills equations. They have the property to satisfy a massive dispersion relation and hold in all gauges. These solutions can be used to describe the vacuum of the quantum Yang-Mills…

Mathematical Physics · Physics 2017-01-20 Marco Frasca

The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical,…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Kai Lin , Yunqi Liu , Wei-Liang Qian

We consider stationary extreme black hole solutions to the Einstein-Yang-Mills equations in four dimensions, allowing for a negative cosmological constant. We prove that any axisymmetric black hole of this kind possesses a near-horizon…

High Energy Physics - Theory · Physics 2013-04-23 Carmen Li , James Lucietti

This paper deals with five-dimensional black hole solutions in (a) Einstein-Yang-Mills-Gauss-Bonnet theory and (b)Einstein-Maxwell-Gauss-Bonnet theory with a cosmological constant for spherically symmetric space time. The geometry of the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Ritabrata Biswas , Subenoy Chakraborty

The three-dimensional static and circularly symmetric solution of the Einstein-Born-Infeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ryo Yamazaki , Daisuke Ida

The concept of "Isolated Horizon" has been recently used to provide a full Hamiltonian treatment of black holes. It has been applied successfully to the cases of {\it non-rotating}, {\it non-distorted} black holes in Einstein Vacuum,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alejandro Corichi , Ulises Nucamendi , Daniel Sudarsky

We construct meronic black holes and solitons in the Einstein $SU(N)$-Yang-Mills theory in $D=4$ and $D=5$ dimensions. These analytical solutions are found by combining the generalized hedgehog ansatz with the Euler parameterization of the…

High Energy Physics - Theory · Physics 2022-05-11 Fabrizio Canfora , Andrés Gomberoff , Marcela Lagos , Aldo Vera

We consider a spherically symmetric (magnetic) $SU(2)$ Yang-Mills field propagating on the exterior of the extremal Reissner-Nordstr\"om black hole. Taking advantage of the conformal symmetry, we reduce the problem to the study of the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Piotr Bizoń , Michał Kahl

Recently, Hawking radiation from a $4-$dimensional linear dilaton black hole solution to Einstein-Maxwell-Dilaton (EMD) theory, via a method of computing exactly the semi-classical radiation, has been derived by Cl\U{e9}ment, et al. Their…

General Relativity and Quantum Cosmology · Physics 2009-02-09 S. Habib Mazharimousavi , I. Sakalli , M. Halilsoy

We present our results on numerical study of evolution of nonlinear perturbations inside spherically symmetric black holes in the SU(2) Einstein-Yang-Mills (EYM) theory. Recent developments demonstrate a new type of the behavior of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. E. Donets , M. N. Tentyukov , M. M. Tsulaia

A recent progress in obtaining non-spherical and non-static solitons in the four-dimensional Einstein--Yang--Mills (EYM) theory is discussed, and a non-perturbative formulation of the stationary axisymmetric problem is attempted. First a 2D…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. V. Gal'tsov

In this work, we obtain the analytically approximation of static, spherically symmetric black hole solutions to Einstein$-$Weyl squared gravity by using the continued fraction expansion method. The black hole solutions are found for various…

General Relativity and Quantum Cosmology · Physics 2025-01-06 Seyed Naseh Sajadi , Supakchai Ponglertsakul

We investigate the quantum nature of naked curvature singularities in Einstein-Yang-Mills (EYM) theory using the Horowitz-Marolf (HM) criterion, which assesses quantum singularities via the evolution of quantum scalar fields. Focusing on…

General Relativity and Quantum Cosmology · Physics 2026-04-30 M. Mangut , O. Gurtug , M. Halilsoy

This is a short review of classical solutions with gravitating Yang-Mills fields in $D>4$ spacetime dimensions. The simplest SO(4) symmetric particlelike and SO(3) symmetric vortex type solutions in the Einstein-Yang-Mills theory in D=5 are…

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

We construct three-dimensional, $\mathcal{N}=1$ off-shell supersymmetric massive Yang-Mills (YM) theory, whose YM equation is "third way" consistent. This means that the field equations of this model do not come from variation of a local…

High Energy Physics - Theory · Physics 2021-10-04 Nihat Sadik Deger , Jan Rosseel

We construct static, asymptotically flat solutions of SU(2) Einstein-Yang-Mills theory in 4+1 dimensions, subject to bi-azimuthal symmetry. Both particle-like and black hole solutions are considered for two different sets of boundary…

High Energy Physics - Theory · Physics 2008-11-26 Eugen Radu , Ya. Shnir , D. H. Tchrakian

We describe a glueing construction for the Yang-Mills equations in dimension $n > 4$. Our method is based on a construction of approximate solutions, and a detailed analysis of the linearized operator near an approximate solution.

Differential Geometry · Mathematics 2007-05-23 Simon Brendle

We present $d+1-$dimensional pure magnetic Yang-Mills (YM) black strings (or $1-$branes) induced by the $d-$dimensional Einstein-Yang-Mills-Dilaton black holes. Born-Infeld version of the YM field makes our starting point which goes to the…

General Relativity and Quantum Cosmology · Physics 2016-05-04 S. Habib Mazharimousavi , M. Halilsoy

We study the classical theory of a non-Abelian gauge field (gauge group $SU(2)$) coupled to a massive dilaton, massive axion and Einstein gravity. The theory is inspired by the bosonic part of the low-energy heterotic string action for a…

High Energy Physics - Theory · Physics 2010-11-01 Christopher M. O'Neill

A static spherically symmetric solution is obtained and examined in the framework of Einstein-power-Yang-Mills-dilaton theory. To derive this exact solution a dilaton potential $V(\Phi)$ is taken into account. Thermodynamics of the black…

High Energy Physics - Theory · Physics 2021-01-01 M. M. Stetsko