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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 present solutions to classical field equations for purely magnetic $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory in asymptotically Anti-de Sitter space. These solutions are found to be stable under linear, time-dependent…

General Relativity and Quantum Cosmology · Physics 2019-02-12 J. Erik Baxter

We investigate the stability of four-dimensional dyonic soliton and black hole solutions of ${\mathfrak {su}}(2)$ Einstein-Yang-Mills theory in anti-de Sitter space. We prove that, in a neighbourhood of the embedded trivial…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Brien C. Nolan , Elizabeth Winstanley

We construct regular and black hole solutions in SU(2) Einstein-Born-Infeld theory. These solutions have many features in common with the corresponding SU(2) Einstein-Yang-Mills solutions. In particular, sequences of neutral non-abelian…

High Energy Physics - Theory · Physics 2011-07-19 Marion Wirschins , Abha Sood , Jutta Kunz

We consider the Einstein-Gauss-Bonnet equations in five dimensions including a negative cosmological constant and a Maxwell field. Using an appropriate Ansatz for the metric and for the electromagnetic fields, we construct numerically black…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Y. Brihaye

We construct the gauge-invariant electric and magnetic charges in Yang-Mills theory coupled to cosmological General Relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser. For…

High Energy Physics - Theory · Physics 2021-07-29 Emel Altas , Ercan Kilicarslan , Bayram Tekin

We consider the Einstein/Yang-Mills equations in $3+1$ space time dimensions with $\SU(2)$ gauge group and prove rigorously the existence of a globally defined smooth static solution. We show that the associated Einstein metric is…

Analysis of PDEs · Mathematics 2015-06-26 Joel Smoller , Arthur G. Wasserman , Shing-Tung Yau , J. Bryce McLeod

Given the path of a point particle, one can relate its acceleration and, in general, its kinematics to the curvature scalars of its trajectory. Using this, a general Ansatz is made for the Yang Mills connection corresponding to a…

High Energy Physics - Theory · Physics 2009-11-07 Ozgur Sarioglu

Continuous dual symmetry in electrodynamics, Yang-Mills theory and gravitation is investigated. Dual invariant which leads to badly nonlinear motion equations is chosen as a Lagrangian of the pure classical dual nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2007-05-23 A. L. Koshkarov

We construct novel solutions to the effective Einstein equation with four dimensional cosmological constant on a 3-brane in Randall-Sundrum II scenario. The charged solution is obtained by assuming the existence of localized Maxwell fields…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Haryanto M. Siahaan

We study non-Einstein Bach-flat gravitational instanton solutions that can be regarded as the generalization of the Taub-NUT/Bolt and Eguchi-Hanson solutions of Einstein gravity to conformal gravity. These solutions include non-Einstein…

High Energy Physics - Theory · Physics 2021-09-15 Cristóbal Corral , Gastón Giribet , Rodrigo Olea

We present black hole type solutions in the scalar-tensor theory with nonminimal derivative coupling to the Einstein tensor. The effects of the nonminimal derivative coupling appear in the large scales, while the solutions approach those in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Masato Minamitsuji

Static, spherically symmetric solutions with regular origin are investigated of the Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$. A combination of numerical and analytical methods leads to a clear picture of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Peter Breitenlohner , Dieter Maison , George Lavrelashvili

We construct dyons, and electrically charged monopole-antimonopole pairs and vortex rings in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are stationary, axially symmetric and asymptotically flat. The dyons with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Burkhard Kleihaus , Jutta Kunz , Ulrike Neemann

Bertotti-Robinson spacetimes are topologically $AdS_2 \times S^2$ and described by a conformally flat metric. Together with the Coulomb electric potential, they provide a class of static, geodetically complete Einstein-Maxwell solutions. We…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Tekin Dereli , Yorgo Senikoglu

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

We discuss black hole and black string solutions in d=5 Einstein-Yang-Mills theory with negative cosmological constant, proposing a method to compute their mass and action. The magnetic gauge field of these configurations does not vanish at…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , E. Radu

A new four-dimensional black hole solution of Einstein-Born-Infeld-Yang-Mills theory is constructed, several degenerated forms of the black hole solution are presented. The related thermodynamical quantities are calculated, with which the…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Kun Meng , Da-Bao Yang , Zhan-Ning Hu

A scalar field gravitational analog of the Reissner-Nordstrom solution is investigated. The nonlinear Newtonian model has an upper-limit of charge for a central mass which agrees with the general relativistic condition required for the…

General Relativity and Quantum Cosmology · Physics 2018-05-21 Michael R. R. Good

A classification of gravitating Yang--Mills systems in all dimensions is presented. These systems are set up so that they support finite energy solutions. Both regular and black hole solutions are considered, the former being the limit of…

General Relativity and Quantum Cosmology · Physics 2009-07-10 Eugen Radu , D. H. Tchrakian
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