Magnetosphere of a spinning string

TL;DR

This paper analytically models the magnetosphere of a spinning string using Maxwell-Einstein equations, revealing charge and magnetic field structures similar to astrophysical jets near active galactic centers.

Contribution

It provides the first analytical solution for the magnetosphere of a spinning string, connecting theoretical physics with astrophysical jet phenomena.

Findings

Spinning string magnetosphere can be solved analytically.

Spinning string acquires charge depending on vorticity.

Magnetic field structure resembles astrophysical jets.

Abstract

In this note we observe that the exact Maxwell-Einstein equations in the background metric of a spinning string can be solved analytically. This allows us to construct an analytical model for the magnetosphere which is approximately force free near to the spinning string. As in the case of a Kerr black hole in the presence of an external magnetic field the spinning string will acquire an electric charge which depends on the vorticity carried by the spinning string. The self-generated magnetic field and currents strongly resemble the current and magnetic field structure of the jets associated with active galaxies as they emerge from the galactic center.