Collimation of a spherical collisionless particles stream in Kerr space-time

Details Collimation of a spherical collisionless particles stream in Kerr space-time Collimation of a spherical collisionless particles stream in Kerr space-time

2009-03-29

arxiv.org/abs/0903.5030v1

Class.Quant.Grav.26:085013,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 8 figures; accepted for publication in CQG

Scientific paper

10.1088/0264-9381/26/8/085013

We examine the propagation of collisionless particles emitted from a spherical shell to infinity. The number distribution at infinity, calculated as a function of the polar angle, exhibits a small deviation from uniformity. The number of particles moving from the polar region toward the equatorial plane is slightly larger than that of particles in the opposite direction, for an emission radius $ > 4.5M$ in extreme Kerr space-time. This means that the black hole spin exerts an anti-collimation effect on the particles stream propagating along the rotation axis. We also confirm this property in the weak field limit. The quadrupole moment of the central object produces a force toward the equatorial plane. For a smaller emission radius $r<4.5M$, the absorption of particles into the black hole, the non-uniformity and/or the anisotropy of the emission distribution become much more important.

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