Geometry of a Centrosymmetric Electric Charge

TL;DR

This paper presents a geometric model of electric charge within Einstein-Maxwell theory, eliminating Coulomb divergence and linking internal and external parameters through spacetime curvature.

Contribution

It introduces a novel geometric approach to modeling electric charge that unifies internal and external parameters via exact solutions of Einstein-Maxwell equations.

Findings

Elimination of Coulomb divergence in gravitational-electromagnetic models

Smooth joining of internal neutral dust world with external vacuum worlds

Expression of charge, mass, and electric field in terms of spacetime curvature

Abstract

The gravitational description given for an electric on the basis of exact solution of the Einstein-Maxwell equations eliminates Coulomb divergence. The internal pulsating semiconfined world formed by neutral dust is smoothly joined with parallel Reissner-Nordstrem vacuum worlds via two static bottlenecks. The charge, rest mass, and electric field are expressed in terms of the space curvatures. The internal and external parameters of the maximon, electron, and the universe form a power series.