Self-Forces on Electric and Magnetic Linear Sources in the Space-Time of a Cosmic String

TL;DR

This paper calculates the electric and magnetic self-forces on a straight wire with current or charge in the space-time of a cosmic string, revealing their relation through Lorentz transformations and observer-dependent effects.

Contribution

It provides a detailed analysis of self-forces in cosmic string space-time and clarifies their transformation properties between different inertial observers.

Findings

Self-forces depend on the conical structure of space-time.

Self-forces are related by Lorentz transformations.

Different observers detect different self-force effects.

Abstract

In this paper we calculate the magnetic and electric self-forces, induced by the conical structure of a cosmic string space-time, on a long straight wire which presents either a constant current or a linear charge density. We also show how these self-forces are related by a Lorentz tranformation and, in this way, explain what two different inertial observers detect in their respective frames.