ON THE COVARIANT REPRESENTATION OF INTEGRAL EQUATIONS OF THE ELECTROMAGNETIC FIELD

@article{Fedosin2019ONTC,
title={ON THE COVARIANT REPRESENTATION OF INTEGRAL EQUATIONS OF THE ELECTROMAGNETIC FIELD},
author={Sergey G. Fedosin},
journal={Progress In Electromagnetics Research C},
year={2019}
}

Gauss integral theorems for electric and magnetic fields, Faradays law of electromagnetic induction, magnetic field circulation theorem, theorems on the flux and circulation of vector potential, which are valid in curved spacetime, are presented in a covariant form. Covariant formulas for magnetic and electric fluxes, for electromotive force and circulation of the vector potential are provided. In particular, the electromotive force is expressed by a line integral over a closed curve, while in… Expand

Extricating the energy from lightning impulse is very difficult for researchers due to the uncontrollability of hazardous and intermittent parameters. This paper proposed a mathematical method to… Expand

A gauge-invariant and microscopically causal theory of the sourceless electromagnetic field in a topologically arbitrary globally hyperbolic asymptotically flat background metric is proposed. The… Expand

The principle of relativity Relativistic mechanics Electromagnetic fields Electromagnetic waves The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a… Expand

We explore the intimate connection between spacetime geometry and electrodynamics. This link is already implicit in the constitutive relations between the field strengths and excitations, which are… Expand

We consider the evolution of electromagnetic fields in curved spacetimes and calculate the exact wave equations for the associated electric and magnetic components. Our analysis is fully covariant,… Expand