Electrically charged matter in rigid rotation around magnetized black hole

TL;DR

This paper investigates the existence and stability of charged-fluid structures around a non-rotating charged black hole in a magnetic field, highlighting potential astrophysical implications for particle trapping.

Contribution

It extends previous work by demonstrating stable charged-fluid configurations in rigid rotation and near the axis, with analytical constraints on their parameters.

Findings

Existence of stable charged toroidal structures in rigid rotation.

Charged clouds can hover near the black hole's symmetry axis.

Potential for trapping charged particles and dust in black hole magnetospheres.

Abstract

We study charged-fluid toroidal structures surrounding a non-rotating charged black hole immersed in a large-scale, asymptotically uniform magnetic field. In continuation of our former study on electrically charged matter in approximation of zero conductivity, we demonstrate existence of orbiting structures in permanent rigid rotation in the equatorial plane, and charged clouds hovering near the symmetry axis. We constrain the range of parameters that allow stable configurations and derive the geometrical shape of equi-pressure surfaces. Our simplified analytical study suggests that these regions of stability may be relevant for trapping electrically charged particles and dust grains in some areas of the black hole magnetosphere, being thus important in some astrophysical situations.