Ultrarelativistic charged and magnetized objects in non-local ghost-free electrodynamics

TL;DR

This paper explores a non-local, ghost-free modification of Maxwell's equations, constructing solutions for stationary and ultrarelativistic charged and magnetized objects in flat spacetimes, revealing their electromagnetic fields.

Contribution

It introduces a novel non-local, ghost-free Lorentz invariant framework for Maxwell equations and derives explicit solutions for ultrarelativistic charged and magnetized objects.

Findings

Derived solutions for stationary objects in the modified theory.

Extended solutions to objects moving at the speed of light.

Demonstrated consistency with Lorentz invariance in non-local context.

Abstract

We study a non-local ghost-free Lorentz invariant modification of the Maxwell equations in four- and higher-dimensional flat spacetimes. We construct solutions of these equations for stationary charged and magnetized objects and use them to find the field created by such objects moving with the speed of light.