On the structure of the magnetic field near a black hole in active galactic nuclei

TL;DR

This paper presents an analytical model of the magnetic field structure near a black hole in active galactic nuclei, revealing that particle angular velocity near the axis can be less than half the black hole's rotation speed, aligning with recent simulations.

Contribution

It introduces a new analytical magnetosphere model based on the Grad-Shafranov equation with specific magnetic field assumptions near the horizon and in jets.

Findings

Angular velocity near the axis can be less than half the black hole's angular velocity.

Model aligns with recent numerical simulation results.

Provides insights into magnetic field configurations in AGN black hole environments.

Abstract

Using the Grad-Shafranov equation, we consider a new analytical model of the black hole magnetosphere based on the assumption that the magnetic field is radial near the horizon and uniform (cylindrical) in the jet region. Within this model, we have managed to show that the angular velocity of particles near the rotation axis of the black hole can be smaller than one half of the black hole angular velocity. This result is consistent with the latest numerical simulations.