Self-force of a point charge in the space-time of a massive wormhole

TL;DR

This paper investigates the electromagnetic self-force on a static point charge in a massive wormhole spacetime, developing a renormalization method and revealing an attractive self-force influenced by the wormhole's mass.

Contribution

It introduces a general renormalization approach for electromagnetic fields in static spacetimes and applies it specifically to a massive wormhole, deriving explicit self-force expressions.

Findings

Self-force is attractive for a charge at rest in the wormhole spacetime.

The self-force expression explicitly depends on the wormhole's mass parameter.

Peculiarities arise due to the massive nature of the wormhole.

Abstract

We consider the self-potential and the self-force for an electrically charged particle at rest in the massive wormhole space-time. We develop general approach for the renormalization of electromagnetic field of such particle in the static space-times and apply it to the space-time of the wormhole with parameter of the mass, $m$. The self-force is found in manifest form; it is an attractive force. We discus the peculiarities due to massive parameter of the wormhole.