Space-time structure and fields of bound charges

TL;DR

This paper presents an exact solution for the electromagnetic field of charges in accelerated frames, linking space-time structure with charge configurations without Einstein's equations, and proposes an experimental verification.

Contribution

It introduces a novel method to determine space-time and electromagnetic fields of charged conductors without Einstein's equations, resolving classical electrodynamics divergence issues.

Findings

Exact solutions for fields of accelerated charges

Relation of space-time metric to Einstein-Maxwell solutions

Method eliminates divergence of proper energy

Abstract

An exact solution for the field of a charge in a uniformly accelerated noninertial frame of reference (NFR) alongside the "Equivalent Situation Postulate" allows one to find space-time structure as well as fields from arbitrarily shaped charged conductors, without using Einstein's equations. In particular, the space-time metric over a charged plane can be related to the metric being obtained from an exact solution to Einstein-Maxwell's equations. This solution describes an equilibrium of charged dust in parallel electric and gravitational fields. The field and metric outside a conducting ball have been found. The method proposed eliminates divergence of the proper energy and makes classical electrodynamics consistent at any sufficiently small distances. An experiment is proposed to verify the approach suggested.