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We report on generalized half-dyon solutions in SU(2) Yang-Mills-Higgs theory, namely Type I and Type II solutions. These solutions are constructed by considering $\phi$-winding number $1\leq n \leq 4$, electric charge parameter $0 \leq\eta…

High Energy Physics - Theory · Physics 2024-01-02 Guo-Quan Wong , Khai-Ming Wong , Dan Zhu

Recently, the monopole-antimonopole pair and monopole-antimonopole chain solutions are solved with internal space coordinate system of $\theta$-winding number $m$ greater than one. However, we notice that it is also possible to solve these…

High Energy Physics - Theory · Physics 2010-04-29 Rosy Teh , K. M. Wong

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

We construct new axially symmetric rotating solutions of Einstein-Yang-Mills-Higgs theory. These globally regular configurations possess a nonvanishing electric charge which equals the total angular momentum, and zero topological charge,…

High Energy Physics - Theory · Physics 2009-11-10 Vanush Paturyan , Eugen Radu , D. H. Tchrakian

We would like to present some exact SU(2) Yang-Mills-Higgs monopole solutions of half-integer topological charge. These solutions can be just an isolated half-monopole or a multimonopole with topological magnetic charge, ${1/2}m$, where $m$…

High Energy Physics - Theory · Physics 2011-07-19 Rosy Teh , Khai-Ming Wong

The Einstein equations with small positive cosmological constant coupled to an SU(2) Yang Mills field admits solutions that possess a coordinate singularity at a noncritical radius. Here, we prove that these solutions are otherwise globally…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alexander N. Linden

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

Spherically symmetric solutions of generic gravitational models are optimally, and legitimately, obtained by expressing the action in terms of the two surviving metric components. This shortcut is not to be overdone, however: a one-function…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Deser , J. Franklin , B. Tekin

Symmetric gauge fields and invariant metrics in homogeneous spaces are found. Their use for finding exact solutions of the Einstein-Yang-Mills (EYM) equations is discussed.

General Relativity and Quantum Cosmology · Physics 2016-08-14 J. M. Mourão

We introduce the supersymmetric version of YM-like theories with infinitely many spin fields in 4 dimension. The construction is carried out via the superfield method. The surprising feature of these models is that they describe in…

High Energy Physics - Theory · Physics 2020-12-18 Loriano Bonora , Stefano Giaccari

In the SU(3) Einstein-Yang-Mills system sequences of static spherically symmetric regular solutions and black hole solutions exist for both the SU(2) and the SO(3) embedding. We construct the lowest regular solutions of the SO(3) embedding,…

High Energy Physics - Theory · Physics 2009-10-28 Burkhard Kleihaus , Jutta Kunz , Abha Sood

There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric…

High Energy Physics - Theory · Physics 2021-10-29 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa

In this work we establish every spherically symmetric non-Abelian Z(2) monopole generated by su(2) embeddings in the SU(4) Yang-Mills-Higgs model minimally broken to SO(4) by a symmetric second-rank tensor Higgs field. We find new monopole…

High Energy Physics - Theory · Physics 2025-05-26 Eduardo E. Quadros , Paulo J. Liebgott

The Einstein equations for a plane-symmetric gravitational field coupled to an arbitrary nonlinear sigma model (NSM) are shown to be represented in the form of dynamical equations of a {\it generalized effective NSM}. The gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. V. Chervon , D. Yu. Shabalkin

We construct axially symmetric dyons in SU(2) Yang-Mills-Higgs theory. In the Prasad-Sommerfield limit, they are obtained via scaling relations from axially symmetric multimonopole solutions. For finite Higgs self-coupling they are…

High Energy Physics - Theory · Physics 2016-12-21 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz

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

We investigate spherically symmetric continuously self-similar (CSS) solutions in the SU(2) sigma model coupled to gravity. Using mixed numerical and analytical methods, we provide evidence for the existence (for small coupling) of a…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Piotr Bizoń , Arthur Wasserman

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 study numerical solutions corresponding to spherically symmetric gravitating electroweak monopole and magnetically charged black holes of the Einstein-Weinberg-Salam theory. The gravitating electroweak monopole solutions are quite…

High Energy Physics - Theory · Physics 2021-11-03 Khai-Ming Wong , Dan Zhu , Guo-Quan Wong

We present new static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory, representing chains of monopoles and antimonopoles in static equilibrium. They correspond to saddlepoints of the energy functional and exist both in the…

High Energy Physics - Theory · Physics 2009-11-10 B. Kleihaus , J. Kunz , Ya. Shnir