Local, Non-Geodesic, Timelike Currents in the Force-Free Magnetosphere of a Kerr Black Hole

TL;DR

This paper presents novel exact solutions revealing a previously unseen timelike, non-geodesic current in a Kerr black hole's force-free magnetosphere, highlighting magnetic dominance and the impact of parameter changes.

Contribution

It introduces new exact solutions showing a timelike current that is non-geodesic and magnetically dominated in Kerr black hole magnetospheres, a first in the literature.

Findings

Discovery of a timelike, non-geodesic current in the magnetosphere.

Identification of magnetically dominated electromagnetic fields.

Parameter change leads to electrically dominated fields.

Abstract

In this paper, we use previously developed exact solutions to present some of the curious features of a force-free magnetosphere in a Kerr background. More precisely, we obtain a hitherto unseen timelike current in the force-free magnetosphere that does not flow along a geodesic. The electromagnetic field in this case happens to be magnetically dominated. This too is a feature that has entered the literature for the first time. Changing the sign of a single parameter in our solutions generates a spacelike current that creates an electromagnetic field that is electrically dominated.