Equilibrium of charged fluid around a Kerr black hole immersed in a magnetic field: variation of angular momentum

TL;DR

This paper analytically explores how charge, magnetic fields, and angular momentum distribution influence the structure of accretion disks around Kerr black holes, revealing significant deviations from previous models.

Contribution

It introduces an analytical model of charged fluid equilibrium disks around Kerr black holes considering non-constant angular momentum and magnetic fields, highlighting their combined effects.

Findings

Angular momentum variation significantly alters disk shape and size.

Magnetic field and charge impact pressure and density profiles.

Deviations from uncharged and constant angular momentum models are substantial.

Abstract

The present work presents analytically constructed equilibrium structures of charged perfect fluids orbiting Kerr Black holes embedded in an asymptotically uniform magnetic field. Our focus is on the effect of the non-constant angular momentum distribution through the disk, as well as its combined effect with the external magnetic field and the fluid charge. We demonstrate that the three parameters of our study have a significant impact on the various features of the accretion disk: the shape, the size of the disk and the characteristic of the fluid, as the pressure and the rest-mass density. Through our investigation, we observe substantial deviations from both the uncharged thick disk model and the charged disk model with constant angular momentum.