Equilibrium configurations of charged fluid around Kerr black hole

TL;DR

This paper investigates the equilibrium shapes of charged perfect fluids around rotating Kerr black holes in magnetic fields, revealing how black hole spin influences the existence and morphology of these configurations.

Contribution

It extends previous non-rotating black hole models to include rotation, showing how spin alters the conditions and shapes of charged fluid equilibria.

Findings

Black hole spin affects the existence conditions of charged fluid configurations.

Fast rotation leads to oblate-shaped structures.

Configurations can be toroidal or hovering along the symmetry axis.

Abstract

Equilibrium configurations of electrically charged perfect fluid surrounding a central rotating black hole endowed with a test electric charge and embedded in a large-scale asymptotically uniform magnetic field are presented. Following our previous studies considering the central black hole non-rotating, we show that in the rotating case, conditions for the configurations existence change according to the spin of the black hole. We focus our attention on the charged fluid in rigid rotation which can form toroidal configurations centered in the equatorial plane or the ones hovering above the black hole, along the symmetry axis. We conclude that a non-zero value of spin changes the existence conditions and the morphology of the solutions significantly. In the case of fast rotation, the morphology of the structures is close to an oblate shape.