Classical electron model with non static conformal symmetry

TL;DR

This paper models the electron as a charged anisotropic fluid sphere with non-static conformal symmetry, addressing singularity issues and matching interior solutions with the Reissner-Nordström exterior metric.

Contribution

It introduces a novel classical electron model using non-static conformal symmetry and analyzes its physical properties and parameter relations.

Findings

Effective gravitational mass is regular everywhere.

Pressure and density are singular at the origin.

Model parameters relate to electron's mass, charge, and radius.

Abstract

Lorentz proposed a classical model of electron in which electron was assumed to have only 'electromagnetic mass'. We modeled electron as charged anisotropic perfect fluid sphere admitting non static conformal symmetry. It is noticed that the pressure and density fail to be regular at the origin but effective gravitational mass is regular everywhere and vanishes at the limit r->0 i.e. it does not have to tolerate the problem of singularity. Further, we have matched interior metric with exterior (Reissner-Nordstr\"om) metric and determine the values of the parameters k and r_0 (occurring in the solutions) in functions of mass, charge and radius of the spherically symmetric charged objects i.e. electron.