Electromagnetic self-force in curved spacetime: New insights from the Janis-Newman algorithm

TL;DR

This paper introduces a novel method using an improved Janis-Newman algorithm to compute the electromagnetic self-force on a static charge in Kerr spacetime, simplifying calculations and extending applicability.

Contribution

It develops an enhanced Janis-Newman algorithm that provides a closed-form expression for the electromagnetic self-force in Kerr spacetime, avoiding the electromagnetic potential.

Findings

Provides a simplified calculation method for self-force.

Extends the applicability of the Janis-Newman algorithm.

Delivers a generalized closed-form expression.

Abstract

We present an original approach to compute the electromagnetic self-force acting on a static charge in Kerr spacetime. Our approach is based on an improved version of the Janis-Newman algorithm and extends its range of applicability. It leads to a closed expression which generalizes the existing one and, since it does not involve the electromagnetic potential, it simplifies the calculation of the self-force.