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Cosmic magnetic fields are typically inhomogeneous and often highly tangled due to large-scale plasma flows, turbulence, and instabilities. If the variations in the magnetic field occur on scales that are large compared to the gyro-radius…

In this paper we consider a rotating black hole with electric and magnetic monopole charges that moves in a static homogeneous electromagnetic field. We assume that both the charges and the fields are weak, so that they have no effect on…

广义相对论与量子宇宙学 · 物理学 2024-09-18 Valeri P. Frolov , Alex Koek

In this paper we consider the classical relativistic motion of charged particles in a knotted electromagnetic field. After reviewing how to construct electromagnetic knots from maps between the three-sphere and the two-sphere, we introduce…

数学物理 · 物理学 2010-05-25 M. Arrayás , J. L. Trueba

Standard formulae of classical electromagnetism for the forces between electric charges in motion derived from retarded potentials are compared with those obtained from a recently developed relativistic classical electrodynamic theory with…

经典物理 · 物理学 2009-11-11 J. H. Field

When a charge accelerates, its field-lines curve in a typical pattern. This pattern resembles the curvature induced on the field-lines by a neighboring charge. Not only does the latter case involve a similar curvature, it moreover results…

综合物理 · 物理学 2012-08-28 Avshalom C. Elitzur , Eliahu Cohen , Paz Beniamini

Geodesic equations of timelike and null charged particles in the Ernst metric are studied. We consider two distinct forms of the Ernst solution where the Maxwell potential represents either a uniform electric or magnetic field. Circular…

广义相对论与量子宇宙学 · 物理学 2015-02-04 Yen-Kheng Lim

In this paper we study the non-relativistic dynamic of a charged particle in the electromagnetic field induced by a periodically time dependent current J along an infinitely long and infinitely thin straight wire. The motions are described…

数学物理 · 物理学 2022-07-27 Manuel Garzón , Stefano Marò

A classical model of the electron based on Maxwell's equations is presented in which the wave character is described by classical physics. Most properties follow from the description of a classical massless charge circulating with v\,=\,c.…

经典物理 · 物理学 2021-10-07 G. Poelz

We discuss the motion of electrically and magnetically charged particles in the electromagnetic swirling universe. We show that the equations of motion can be decoupled in the Hamilton-Jacobi formalism, revealing the existence of a fourth…

广义相对论与量子宇宙学 · 物理学 2024-07-08 Rogério Capobianco , Betti Hartmann , Jutta Kunz

Maxwell's equations cannot describe a homogeneous and isotropic universe with a uniformly distributed net charge, because the electromagnetic field tensor in such a universe must be vanishing everywhere. For a closed universe with a nonzero…

广义相对论与量子宇宙学 · 物理学 2016-03-01 Li-Xin Li

The classical drift motion of electrons in crossed electric and magnetic fields provides an interesting example of a system with an on average constant velocity -- despite the presence of an electric field. This drift-velocity depends…

介观与纳米尺度物理 · 物理学 2007-05-23 Tobias Kramer

The classical electromagnetic field of a spinless point electron is described in a formalism with extended causality by discrete finite transverse point-vector fields with discrete and localized point interactions. These fields are taken as…

高能物理 - 理论 · 物理学 2007-05-23 Manoelito M. de Souza

The space-time curvature carried by electromagnetic fields is discovered and a new unification of geometry and electromagnetism is found. Curvature is invariant under charge reversal symmetry. Electromagnetic field equations are examined…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. W. M. Woodside

We derive Maxwell equations for electric and magnetic fields in curved spacetime from first principles, relaxing an unnecessary assumption on the structure of the four-potential inherent to the standard approach and thus restoring the full…

高能物理 - 唯象学 · 物理学 2023-10-13 Anton V. Sokolov

By requiring the linear differential operator in Newton's law of motion to be self adjoint, we obtain the field equation for the linear theory, which is the classical electrodynamics. In the process, we are also led to a fundamental…

广义相对论与量子宇宙学 · 物理学 2011-09-13 Parampreet Singh , Naresh Dadhich

We study the electric field around a continuous one-dimensional loop of static charge, under the assumption that the charge is distributed uniformly along the loop. For rectangular or stadium-shaped loops in the plane, we find that the…

动力系统 · 数学 2022-09-20 Max Lipton , Steven H Strogatz , Alex Townsend

Electrical charges are conserved. The same would be expected to hold for magnetic charges, yet magnetic monopoles have never been observed. It is therefore surprising that the laws of non-equilibrium thermodynamics, combined with Maxwell's…

We consider an elastic-plastic medium whose motion equations are isomorphic to Maxwell's equations. Electrical charges are modeled by pressure centers of the medium. The electric interaction is shown to be concerned with the conservation…

综合物理 · 物理学 2009-10-28 Valery P. Dmitriyev

We inquire into classical and quantum laws of motion for the point charge sources in the nonlinear Maxwell-Born-Infeld field equations of classical electromagnetism in flat and curved Einstein spacetimes.

数学物理 · 物理学 2011-07-25 Michael K. -H. Kiessling

It is conventionally believed that solutions of so called "free" Maxwell equations for \varrho=0 (density of charge) describe the free electromagnetic field in empty space (if one considers the free field as a field, whose flux lines…

经典物理 · 物理学 2007-05-23 Andrew E. Chubykalo , Hector A. Munera , Roman Smirnov-Rueda