Worldline deviations of charged spinning particles

TL;DR

This paper generalizes the geodesic deviation equation to describe the relative accelerations of charged spinning particles using Dixon-Souriau equations, expanding understanding of particle dynamics in curved spacetime.

Contribution

It introduces a new worldline deviation equation for charged spinning particles, extending classical geodesic deviation concepts to include charge and spin effects.

Findings

Derived a generalized deviation equation for charged spinning particles.

Provides a framework for analyzing relative accelerations in curved spacetime.

Enhances theoretical tools for studying particle dynamics with charge and spin.

Abstract

The geodesic deviation equation is generalized to worldline deviation equations describing the relative accelerations of charged spinning particles in the framework of Dixon-Souriau equations of motion.