Exact relativistic models of thin disks around static black holes in a magnetic field

TL;DR

This paper develops exact relativistic models of thin disks around static black holes in magnetic fields, analyzing stability and matter properties using counterrotating charged streams and various disk configurations.

Contribution

It introduces new exact models of thin disks around black holes in magnetic fields, including finite and infinite disks, and examines their stability with a novel counterrotating charged particle approach.

Findings

Magnetic fields influence disk stability and matter properties.

Counterrotating charged streams can explain disk stability.

Models include disks with jets and magnetic effects.

Abstract

The exact superposition of a central static black hole with surrounding thin disk in presence of a magnetic field is investigated. We consider two models of disk, one of infinite extension based on a Kuzmin-Chazy-Curzon metric and other finite based on the first Morgan-Morgan disk. We also analyze a simple model of active galactic nuclei consisting of black hole, a Kuzmin-Chazy-Curzon disk and two rods representing jets, in presence of magnetic field. To explain the stability of the disks we consider the matter of the disk made of two pressureless streams of counterrotating charged particles (counterrotating model) moving along electrogeodesic. Using the Rayleigh criterion we derivate for circular orbits the stability conditions of the particles of the streams. The influence of the magnetic field on the matter properties of the disk and on its stability are also analyzed.