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Regular monopole and dyon solutions to the SU(2) Einstein Yang-Mills equations in asymptotically anti-de Sitter space are discussed. A class of monopole solutions are shown to be stable against spherically symmetric linear perturbations.

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yutaka Hosotani , Jefferson Bjoraker

Within modified gravity, we study static spherically and axially symmetric self-gravitating non-Abelian monopoles in $SU(2)$ Yang-Mills-Higgs theory. By comparing these monopoles with those obtained in Einstein-Yang-Mills-Higgs theory, we…

High Energy Physics - Theory · Physics 2026-05-12 Vladimir Dzhunushaliev , Vladimir Folomeev

We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number of stationary solutions which are all nonlinearly unstable.

Analysis of PDEs · Mathematics 2016-12-21 Dietrich Häfner , Cécile Huneau

We prove the existence of dark monopole solutions in a recently formulated Yang--Mills--Higgs theory model with technical features similar to the classical monopole problems. The solutions are obtained as energy-minimizing static…

Mathematical Physics · Physics 2019-12-11 Xiangqin Zhang , Yisong Yang

We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein--Yang-Mills--Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reissner-Nordstrom solutions and the…

High Energy Physics - Theory · Physics 2011-02-23 Yves Brihaye , Eugen Radu , D. H. Tchrakian

For N>2 we present static monopole solutions of the second order SU(N) BPS Yang-Mills-Higgs equations which are not solutions of the first order Bogomolny equations. These spherically symmetric solutions may be interpreted as monopole…

High Energy Physics - Theory · Physics 2010-11-19 Theodora Ioannidou , Paul M. Sutcliffe

We construct spherically and axially symmetric monopoles in SU(5) Yang-Mills-Higgs theory both in flat and curved space as well as spherical and axial non-abelian, ''hairy'' black holes. We find that in analogy to the SU(2) case, the flat…

High Energy Physics - Theory · Physics 2014-11-18 Yves Brihaye , Betti Hartmann

We present new classical solutions of Einstein-Yang-Mills-Higgs theory, representing gravitating sphaleron-antisphaleron pair, chain and vortex ring solutions. In these static axially symmetric solutions, the Higgs field vanishes on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Michael Leissner

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

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 construct monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, carrying magnetic charge n. For vanishing and small Higgs selfcoupling, these multimonopole solutions are gravitationally bound. Their mass per unit charge is lower…

High Energy Physics - Theory · Physics 2009-10-31 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz

It is shown analytically that every static, spherically symmetric solution to the Einstein Yang Mills equations with SU(2) gauge group that is defined in the far field has finite ADM mass. Moreover, there can be at most two horizons for…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Arthur G. Wasserman

New solutions to the static, spherically symmetric Einstein-Yang-Mills-Higgs equations with the Higgs field in the triplet resp. doublet representation are presented. They form continuous families parametrized by $\alpha=M_W/M_Pl$ ($M_W$…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Forgacs , Sebastien Reuillon

We present a family of gravitationally coupled electroweak monopole solutions in Einstein-Weinberg-Salam theory. Our result confirms the existence of globally regular gravitating electroweak monopole which changes to the magnetically…

High Energy Physics - Theory · Physics 2018-03-22 Y. M. Cho , Kyoungtae Kimm , J. H. Yoon

We discuss the static axially symmetric regular solutions, obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory [1]. These asymptotically flat solutions are characterized by the winding number $n>1$ and the node…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

Alternative theories of gravity and their solutions are of considerable importance since at some fundamental level the world can reveal new features. Indeed, it is suspected that the gravitational field might be nonminimally coupled to the…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Alexander B. Balakin , José P. S. Lemos , Alexei E. Zayats

We consider monopole and dyon classical solutions of the Yang-Mills-Higgs system coupled to gravity in asymptotically anti-de Sitter space. We discuss both singular and regular solutions to the second order equations of motion showing that…

High Energy Physics - Theory · Physics 2010-11-19 Adrian R. Lugo , Fidel A. Schaposnik

The existence of nonsingular classical magnetic monopole solutions is usually understood in terms of topologically nontrivial Higgs field configurations. We show that finite energy magnetic monopole solutions also exist within a class of…

High Energy Physics - Theory · Physics 2009-10-28 Kimyeong Lee , Erick J. Weinberg

We construct finite mass, asymptotically flat black hole solutions in d=4 Einstein-Yang-Mills theory augmented with higher order curvature terms of the gauge field. They possess non-Abelian hair in addition to Coulomb electric charge, and,…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Eugen Radu , D. H. Tchrakian

We consider globally regular and black hole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, coupled to a dilaton field. The basic solutions represent magnetic monopoles, monopole-antimonopole systems or black holes with monopole or…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz , Francisco Navarro-Lérida , Ulrike Neemann