Deflection of Highly Relativistic Particles in a Gravitational Field

TL;DR

This paper introduces a new method for calculating the deflection of highly relativistic particles in various gravitational fields using light-like boosts, with applications to Schwarzschild, Kerr, multipole sources, and cosmic strings.

Contribution

It presents a novel approach based on light-like boosts to analyze particle deflection in complex gravitational fields, including spinning particles and cosmic strings.

Findings

Derived deflection formulas for Schwarzschild and Kerr fields

Extended analysis to multipole sources and cosmic strings

Discussed deflection behavior of spinning particles

Abstract

A novel approach to the calculation of the deflection of highly relativistic test particles in gravitational fields is described. We make use of the light-like boosts of the gravitational fields of the sources. Examples are given of the deflection of highly relativistic particles in the Schwarzschild and Kerr gravitational fields, in the field of a static, axially symmetric, multipole source and in the field of a cosmic string. The deflection of spinning particles is also discussed.