Dynamical behaviour of the `beads' along the magnetic field lines near a rotating black hole

TL;DR

This paper studies the dynamics of bead-like elements along magnetic field lines near a rotating black hole, revealing that black hole spin influences the critical angle for magnetically driven outflows, potentially easing flow acceleration.

Contribution

It extends the understanding of magnetically driven outflows by analyzing how black hole rotation affects the critical inclination angle for flow initiation.

Findings

Critical angle exceeds 60 degrees for rotating black holes.

Flow acceleration is easier near the inner edge of the disk around a rotating black hole.

Black hole spin significantly influences magnetic outflow dynamics.

Abstract

The elements of the cold magnetic driven flows behave like beads on the magnetic field line. The inclination of the field lines at the surface of the disc plays a crucial role on the nature of the magnetically driven outflow. For the non-relativistic case, a centrifugally driven outflow of matter from the disc is possible, if the poloidal component of the magnetic field makes an angle of less than a critical 60 degrees with the disc surface. The collimated flows ejected from active galactic nuclei may probably start from the region near the black hole. We investigate the dynamical behavior of the 'beads' on the magnetic field line start from the disc near a black hole. It is found that the critical angle becomes larger than 60 degrees for the rotating black hole case (close to 90 degrees for a=1), which may imply that the flows are easy accelerated in the inner edge of the disk surrounding a rotating black hole.