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Self-gravitating SU(2) Higgs magnetic monopoles exist up to a critical value of the ratio of the vector meson mass to the Planck mass, which depends on the Higgs boson mass. At the critical value a critical solution with a degenerate…

High Energy Physics - Theory · Physics 2010-11-19 Y. Brihaye , B. Hartmann , J. Kunz

We study magnetically charged classical solutions of a spontaneously broken gauge theory interacting with gravity. We show that nonsingular monopole solutions exist only if the Higgs vacuum expectation value $v$ is less than or equal to a…

High Energy Physics - Theory · Physics 2009-10-22 K. Lee , V. P. Nair , Erick J. Weinberg

We study the Einstein-SO(3)Yang-Mills-Higgs system with a negative cosmological constant, and find the monopole black hole solutions as well as the trivial Reissner-Nordstr\"{o}m black hole. We discuss thermodynamical stability of the…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Shoichiro Miyashita , Kei-ichi Maeda

We investigate static axially symmetric monopole and black hole solutions with magnetic charge n > 1 in Einstein-Yang-Mills-Higgs theory. For vanishing and small Higgs selfcoupling, multimonopole solutions are gravitationally bound. Their…

High Energy Physics - Theory · Physics 2009-11-07 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz

We study the Yang-Mills-Higgs system within the framework of general relativity. In the static situation, using Bogomol'nyi type analysis, we derive a positive-definite energy functional which has a lower bound. Specializing to the gauge…

High Energy Physics - Phenomenology · Physics 2010-11-01 Nguyen Ai Viet , Kameshwar C. Wali

Although nonsingular spacetimes and those containing black holes are qualitatively quite different, there are continuous families of configurations that connect the two. In this paper we use self-gravitating monopole solutions as tools for…

High Energy Physics - Theory · Physics 2009-10-31 Arthur Lue , Erick J. Weinberg

The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , P. K. Townsend

We study a spontaneously broken Einstein-Yang-Mills-Higgs model coupled via a Higgs portal to an uncharged scalar $\chi$. We present a phase diagram of self-gravitating solutions showing that, depending on the choice of parameters of the…

High Energy Physics - Theory · Physics 2019-01-15 A. Lugo , J. M. Pérez Ipiña , F. A. Schaposnik

We consider axially symmetric SU(2) Yang-Mills-Higgs (YMH) multimonopoles in Brans-Dicke theory for winding number n > 1. In analogy to the spherically symmetric n=1 solutions, we find that the axially symmetric solutions exist for higher…

High Energy Physics - Theory · Physics 2014-11-18 Betti Hartmann

We construct static axially symmetric black holes in SU(2) Einstein-Yang-Mills-Higgs theory. Located in between a monopole-antimonopole pair, these black holes possess magnetic dipole hair. The difference of their mass and their horizon…

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , J. Kunz

In monopole-antimonopole chain solutions of SU(2) Yang-Mills-Higgs theory the Higgs field vanishes at m isolated points along the symmetry axis, whereas in vortex ring solutions the Higgs field vanishes along one or more rings, centered…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Ulrike Neemann , Yasha Shnir

We present analytical and numerical results for static, spherically symmetric solutions of the Einstein Yang-Mills Higgs equations corresponding to magnetic monopoles and non-abelian magnetically charged black holes. In the limit of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Peter Breitenlohner , Peter Forgacs , Dieter Maison

We consider a Yang-Mills-Higgs theory with gauge group $G=SU(n)$ broken to $G_{v} = [SU(p)\times SU(n-p)\times U(1)]/Z$ by a Higgs field in the adjoint representation. We obtain monopole solutions whose magnetic field is not in the Cartan…

High Energy Physics - Theory · Physics 2019-01-18 Maria de Lourdes Z. P. Deglmann , Marco A. C. Kneipp

We consider the $SU(2)$ Self-Dual Yang Mills Higgs Lagrangian in 3 dimension. By adding a ''Gauge Mass'' term to this YMH Lagrangian in the form of $L^2$ norm of the connection we break the gauge invariance and critical points are…

Analysis of PDEs · Mathematics 2026-05-01 Tristan Rivière

A large amount of work has been dedicated to studying general relativity coupled to non-Abelian Yang-Mills type theories. It has been shown that the magnetic monopole, a solution of the Yang-Mills-Higgs equations can be coupled to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jose' P. S. Lemos , Vilson T. Zanchin

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 study an electric charge held at rest outside a magnetically charged black hole. We find that even if the electric charge is treated as a perturbation on a spherically symmetric magnetic Reissner-Nordstrom hole, the geometry at large…

High Energy Physics - Theory · Physics 2011-11-10 Claudio Bunster , Marc Henneaux

According to previous work on magnetic monopoles, static regular solutions are nonexistent if the vacuum expectation value of the Higgs field $\eta$ is larger than a critical value $\eta_{{\rm cr}}$, which is of the order of the Planck…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Nobuyuki Sakai

Stationary black holes in 5-dimensional Einstein-Maxwell-Chern-Simons theory possess surprising properties. When considering the Chern-Simons coefficient $\lambda$ as a parameter, two critical values of $\lambda$ appear: the supergravity…

High Energy Physics - Theory · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida

Static solutions of the Einstein-Yang-Mills-Higgs system containing extreme black holes are studied. The field equations imply strong restrictions on boundary values of all fields at the horizon. If the Yang-Mills radial electric field $E$…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. Bicak , C. Cris , P. Hajicek , A. Higuchi
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