Electromagnetic self-force for axially symmetric charge on a spherical shell

TL;DR

This paper derives the electromagnetic self-force on an axially symmetric charge distribution on a sphere in rigid accelerated motion, providing a closed-form expression involving multipole moments, with applications to dipoles and near-horizon physics.

Contribution

It presents a novel closed-form expression for the electromagnetic self-force of an axially symmetric charge on a sphere undergoing uniform acceleration.

Findings

Closed-form expression for self-force in terms of multipole moments

Application to dipole electrodynamics

Analysis of self-force near a horizon in spacetime

Abstract

We obtain the fields and electromagnetic self-force of a charge distributed on the surface of a sphere undergoing rigid motion at constant proper acceleration, where the charge distribution has axial symmetry about the direction of motion. A closed-form expression for the self-force is given in terms of the multipole moments of the charge distribution. Applications to the electrodynamics of a dipole, and to electromagnetic self-force near a horizon (in spacetime) are discussed.