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The Minkowski's theory is regarded as the classical approach for describing the electromagnetism of uniformly moving objects by elegantly utilizing the format-invariance of the Maxwell's equations in inertia reference frames under Lorentz…

General Physics · Physics 2026-03-11 Zhong Lin Wang

A hypothetical equation of motion is proposed for Kerr-Newman particles. It is obtained by analytic continuation of the Lorentz-Dirac equation into complex space-time. A new class of "runaway" solutions are found which are similar to…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Mark Davidson

We revisit Minkowski's lost legacy on relativistic electromagnetism in order to resolve long-standing puzzles over the charge distribution of relativistic systems like hadrons. Hadrons are unique relativistic electromagnetic systems…

High Energy Physics - Phenomenology · Physics 2023-08-02 Yang Li , Wen-bo Dong , Yi-liang Yin , Qun Wang , James P. Vary

An electromagnetic field of simple algebraic structure is simply derived. It turns out to be the G=0 limit of the charged rotating Kerr-Newman metrics. These all have gyromagnetic ratio 2, the same as the Dirac electron. The charge and…

Astrophysics · Physics 2007-05-23 Donald Lynden-Bell

Two known, alternative to each other, forms of the Maxwell's electromagnetic equations in a moving uniform media are investigated and discussed. Approach commonly used after Minkowski is based on the two tensors: H^{ab} = (D, H /c) and…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Red'kov , George J. Spix

The electromagnetic theory is considered in the framework of the generally covariant approach, that is applied to the analysis of electromagnetism in noninertial coordinate and frame systems. The special-relat\-ivistic formulation of…

Classical Physics · Physics 2021-10-14 Yuri N. Obukhov

Minkowski spacetime is a convenient setting for the study of the relativistic dynamics of particles and fields in the vacuum. In order to study events that occur in a dielectric or other linear medium, we adopt the familiar continuum…

Classical Physics · Physics 2009-02-27 Michael E. Crenshaw

The gravitational and electromagnetic fields of a moving charged spinning point particle are obtained in the Lorentz covariant form by transforming the Kerr--Newman solution in Boyer--Lindquist coordinates to the one in the coordinate…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jaegu Kim

By treating the real Maxwell Field and real linearized Einstein equations as being imbedded in complex Minkowski space, one can interpret magnetic moments and spin-angular momentum as arising from a charge and mass monopole source moving…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ezra T. Newman

If an appropriate region of Kerr-Newman space-time is removed and suitable identifications are made, the resulting space-time can be interpreted as an infinitely thin disk producing the original electromagnetic and gravitational fields. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Ledvinka , M. Zofka , J. Bicak

A non-canonical correspondence of the complete sets of solutions to the Dirac and Klein-Gordon free equations in Minkowski space-time is established. This allows for a novel viewpoint on the relationship of relativistic equations for…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Vladimir V. Kassandrov

Starting with the quaternionic Minkowski space-time and its four-vector representation, a rotational analogue of the quaternionic Dirac equation in the electromagnetic field is developed, which includes not only the energy solutions but…

General Physics · Physics 2024-10-08 Shikha Bhatt , B. C. Chanyal

In this paper we discuss global existence of the solution of the Maxwell and Newton system of equations, describing the interaction of a rigid charge distribution with the electromagnetic field it generates. A unique solution is proved to…

Analysis of PDEs · Mathematics 2014-11-24 Marco Falconi

There are constructed exact solutions of the quantum-mechanical Dirac equation for a spin S=1/2 particle in Riemannian space of constant negative curvature, hyperbolic Lobachevsky space, in presence of an external magnetic field, analogue…

Mathematical Physics · Physics 2011-08-30 E. M. Ovsiyuk , V. V. Kisel , V. M. Red'kov

Minkowski's concept of a four-dimensional physical space is a central paradigm of modern physics. The three-dimensional Maxwellian electrodynamics is uniquely generalized to the covariant four-dimensional form. Is the (1+3) decomposition of…

General Relativity and Quantum Cosmology · Physics 2013-03-08 Y. Itin , Y. Friedman

For m^2 < a^2 + q^2, with m, a, and q respectively the source mass, angular momentum per unit mass, and electric charge, the Kerr--Newman (KN) solution of Einstein's equation reduces to a naked singularity of circular shape, enclosing a…

High Energy Physics - Theory · Physics 2015-06-26 H. I. Arcos , J. G. Pereira

It is pointed out that the previous energy-momentum tensors of Minkowski and Abraham for the electromagnetic field in continuous media are based on a covariant formulation which does not reflect a symmetry inherent to the system. Instead,…

High Energy Physics - Phenomenology · Physics 2008-09-30 Finn Ravndal

An exact charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the teleparallel equivalent of Einstein theory is derived. It is characterized by three parameters ``$ $the gravitational mass $M$, the…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Gamal G. L. Nashed

An electric monopole solution to the equations of Maxwell and Einstein's general relativity is displayed. It differs from the usual one in that all components of the metric vanish at large spatial distances from the charge rather than…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. H. Friedman

We derive the second-order post-Minkowskian solution for the small-deflection motion of test particles in the external field of the Kerr-Newman black hole via an iterative method. The analytical results are exhibited in the coordinate…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Bo Yang , Chunhua Jiang , Wenbin Lin
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