Kerr Geodesics Following the Axis of Symmetry

Abstract

We present here the general expressions for the acceleration of massive test particles along the symmetry axis of the Kerr metric, and then study the main properties of this acceleration in different regions of the spacetime. In particular, we show that there exists a region near the black hole in which the gravitational field is repulsive. We provide possible physical interpretations about the role of this effect in terms of the different conserved parameters. The studies of these geodesics are important not only to understand better the structure of the Kerr spacetime but also to its use as a possible mechanism for the production of extragalactic jets. Our results are obtained with the help of expressing the geodesics of the Kerr spacetime in terms of the Weyl coordinates.

revtex4, no figures and tables. Gen. Relativ. Grav. 48 (2016) 66

References in corpus (3)

• Jet Launching Structure Resolved Near the Supermassive Black Hole in M87
• Revised upper limit to energy extraction from a Kerr black hole
• Unbound geodesics from the ergosphere and potential observability of debris from ultrahigh energy particle collisions

Cited by in corpus (6)

• Cylindrical Systems in General Relativity
• Geodesics of the hyperbolically symmetric black hole
• Acceleration of particles to high energy via gravitational repulsion in the Schwarzschild field
• Observable acceleration of jets by a Kerr black hole
• Repulsive effect for the unbound high energy particles along the rotation axis in the Kerr-Taub-NUT spacetime
• On-Axis Tidal Forces in Kerr Spacetime