Scattering of High Speed Particles in the Kerr Gravitational Field

TL;DR

This paper develops a method to calculate the deflection angles of high-speed particles in the Kerr gravitational field by using a boosted gravitational field approximation, providing insights into particle trajectories near rotating black holes.

Contribution

It introduces a novel approach to approximate high-speed particle deflections in Kerr spacetime via light-like boosts of the gravitational field.

Findings

Derived formulas for deflection angles of high-speed particles in Kerr field.

Demonstrated the method's effectiveness for arbitrary particle directions.

Provided a framework for analyzing particle trajectories near rotating black holes.

Abstract

We calculate the angles of deflection of high speed particles projected in an arbitrary direction into the Kerr gravitational field. This is done by first calculating the light-like boost of the Kerr gravitational field in an arbitrary direction and then using this boosted gravitational field as an approximation to the gravitational field experienced by a high speed particle. In the rest frame of the Kerr source the angles of deflection experienced by the high speed test particle can then easily be evaluated.