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Deformation Electromagnetic Field in the Minkowski Space

Yurii A. Spirichev

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Abstract

The work is dedicated to the development of the classical theory of the electromagnetic field (EMF). On the basis of EMF representation by an antisymmetric tensor field of the second rank, the symmetric tensor of EMF is constructed. This tensor describes the deformation of EMF in Minkowski space. Coupling equations of its components supplement the system of Maxwell's equations. The new equations describe connection between volumetric and shear deformations of EMF. Coupling equations between strain tensor components and tensor components received. It is shown that members of calibration condition of Lorentz are components of a spherical tensor of volumetric deformation of EMF. It is shown that the electric charges produce volumetric deformation of EMF. The wave equation of tensor waves of volumetric deformation of EMF is received.

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What this paper is about

The work is dedicated to the development of the classical theory of the electromagnetic field (EMF). On the basis of EMF representation by an antisymmetric tensor field of the second rank, the symmetric tensor of EMF is constructed. This tensor describes the deformation of EMF in Minkowski space. Coupling equations of its components supplement the system of Maxwell's equations. The new equations describe connection between volumetric and shear deformations of EMF. Coupling equations between strain tensor components and tensor components received. It is shown that members of calibration condition of Lorentz are components of a spherical tensor of volumetric deformation of EMF. It is shown that the electric charges produce volumetric deformation of EMF. The wave equation of tensor waves of volumetric deformation of EMF is received.

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Available abstract

The work is dedicated to the development of the classical theory of the electromagnetic field (EMF). On the basis of EMF representation by an antisymmetric tensor field of the second rank, the symmetric tensor of EMF is constructed. This tensor describes the deformation of EMF in Minkowski space. Coupling equations of its components supplement the system of Maxwell's equations. The new equations describe connection between volumetric and shear deformations of EMF. Coupling equations between strain tensor components and tensor components received. It is shown that members of calibration condition of Lorentz are components of a spherical tensor of volumetric deformation of EMF. It is shown that the electric charges produce volumetric deformation of EMF. The wave equation of tensor waves of volumetric deformation of EMF is received.

Key concepts: Electromagnetic tensor, Antisymmetric tensor, Physics, Classical mechanics, Tensor (intrinsic definition), Deformation (meteorology), Minkowski space, Infinitesimal strain theory

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