Electrostatic self-force in a static weak gravitational field with cylindrical symmetry

TL;DR

This paper calculates the electrostatic self-force experienced by a charge in a static, cylindrically symmetric gravitational field using linearized Einstein theory, expressing the force in terms of the energy-momentum tensor components.

Contribution

It provides a new analytical expression for the electrostatic self-force in cylindrically symmetric static spacetimes within the linear approximation of Einstein's theory.

Findings

Self-force expressed in terms of energy-momentum tensor components

Applicable to arbitrary static cylindrically symmetric metrics

Uses linearized Einstein theory for derivation

Abstract

We determine the electrostatic self-force at rest in an arbitrary static metric with cylindrical symmetry in the linear approximation in the Newtonian constant. In linearised Einstein theory, we express it in terms of the components of the energy-momentum tensor.