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We consider a problem of electron motion in different media and magnetic field. It is shown that in case of nonmoving medium and constant homogenious magnetic field the electron energies are quantized. We also discuss the general problem of…

High Energy Physics - Phenomenology · Physics 2011-05-23 I. Balantsev , Yu. Popov , A. Studenikin

The charged, spinning and gravitating soliton is realized as a regular solution of the Kerr-Newman field coupled with a chiral Higgs model. A regular core of the solution is formed by a domain wall bubble interpolating between the external…

High Energy Physics - Theory · Physics 2015-05-18 Alexander Burinskii

We point out that the statements in [hep-th/9903063] concerning the regularity of static axially symmetric solutions in Yang-Mills-dilaton (YMD) [1] and Einstein-Yang-Mills(-dilaton) (EYMD) theory [2,3] are incorrect, and that the…

High Energy Physics - Theory · Physics 2007-05-23 B. Kleihaus , J. Kunz

We obtain a class of rotating charged stationary circularly symmetric solutions of Einstein-Maxwell theory coupled to a topological mass term for the Maxwell field. These solutions are regular, have finite mass and angular momentum, and are…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Sharmanthie Fernando , Freydoon Mansouri

We present a method for constructing equilibrium disks with net angular momentum in general relativity. The method solves the relativistic Vlasov equation coupled to Einstein's equations for the gravitational field. We apply the method to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Katrin Schenk , Stuart L. Shapiro , Saul A. Teukolsky

The static Yang-Mills-Higgs dyonic instanton is shown to have a non-vanishing, but anti-self-dual, angular momentum 2-form with skew eigenvalues equal to the electric charge; for large charge the angular momentum causes the instanton to…

High Energy Physics - Theory · Physics 2010-02-03 E. Eyras , P. K. Townsend , M. Zamaklar

We consider 2D Maxwell-Lorentz equations with extended charged rotating particle. The system admits solitons which are solutions corresponding to a particle moving with a constant velocity and rotating with a constant angular velocity. Our…

Mathematical Physics · Physics 2025-05-20 Elena Kopylova

Within the framework of Bonnor's exact solution describing a massive magnetic dipole, we study the motion of neutral and electrically charged test particles. In dependence on the Bonnor spacetime parameters, we determine regions enabling…

General Relativity and Quantum Cosmology · Physics 2013-01-10 Jiří Kovář , Ondřej Kopáček , Vladimí Karas , Yasufumi Kojima

Rotation of a permanently polarized rigid body under the radiation reaction torque is considered. Dynamics of the spinning top is derived from a balance condition of the angular momentum. It leads to the non-integrable nonlinear 2nd-order…

Classical Physics · Physics 2020-09-28 Askold Duviryak

We construct and study numerical solutions corresponding to generalized electrically charged half-monopole in Weinberg-Salam theory, denoted as Type I and Type II solutions. These solutions possess magnetic charge $q_m = +2 n \pi/e$ ($-2 n…

High Energy Physics - Theory · Physics 2024-01-04 Guo-Quan Wong , Khai-Ming Wong , Dan Zhu

We study regular, static, spherically symmetric solutions of Yang-Mills theories employing higher order invariants of the field strength coupled to gravity in $d$ dimensions. We consider models with only two such invariants characterised by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Breitenlohner , Dieter Maison , D. H. Tchrakian

We present a unified treatment of classical solutions of noncommutative gauge theories. We find all solutions of the noncommutative Yang-Mills equations in 2 dimensions; and show that they are labelled by two integers -- the rank of gauge…

High Energy Physics - Theory · Physics 2010-02-03 David J. Gross , Nikita A. Nekrasov

We prove that static, spherically symmetric, asymptotically flat, regular solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups. The proof involves the following main steps. First, we show that the frequency…

General Relativity and Quantum Cosmology · Physics 2010-11-01 O. Brodbeck , N. Straumann

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

We present a one-parameter family of stationary, asymptotically flat solutions of the Einstein-Maxwell equations with only a mild singularity, which are endowed with mass, angular momentum, a dipole magnetic moment and a quadrupole electric…

General Relativity and Quantum Cosmology · Physics 2017-06-15 Gérard Clément , Dmitri Gal'tsov

We present a class of solutions in Einstein-Yang-Mills-systems with arbitrary gauge groups and space-time dimensions, which are symmetric under the action of the group of spatial rotations. Our approach is based on the dimensional reduction…

General Relativity and Quantum Cosmology · Physics 2010-11-19 G. Rudolph , T. Tok , I. Volobuev

We investigate self-gravitating rotating solutions in the Einstein-Skyrme theory. These solutions are globally regular and asymptotically flat. We present a new kind of solutions with zero baryon number, which possess neither a flat limit…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theodora Ioannidou , Burkhard Kleihaus , Jutta Kunz

We construct monopole-antimonopole chain and vortex solutions in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are static, axially symmetric and asymptotically flat. They are characterized by two integers (m,n) where m…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Burkhard Kleihaus , Jutta Kunz , Yasha Shnir

A class of exact solutions of the Einstein-Maxwell equations is presented which contains infinite sets of gravitoelectric, gravitomagnetic and electromagnetic multipole moments. The multipolar structure of the solutions indicates that they…

General Relativity and Quantum Cosmology · Physics 2012-01-10 Hernando Quevedo

Scaling behavior in the moduli space of monopole and dyon solutions in the Einstein-Yang-Mills theory in the asymptotically anti-de Sitter space is derived. The mass of monopoles and dyons scales with respect to their magnetic and electric…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yutaka Hosotani
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