World-line deviation and spinning particles

TL;DR

This paper derives generalized world-line deviation equations for spinning particles within the Mathisson-Papapetrou-Dixon framework and analyzes their behavior in plane gravitational wave spacetimes.

Contribution

It introduces a new set of deviation equations for spinning particles that extend geodesic deviation, applied to specific gravitational backgrounds.

Findings

Derived generalized deviation equations for spinning particles.

Analyzed particle behavior in plane gravitational wave spacetime.

Extended understanding of spinning particle dynamics in curved spacetime.

Abstract

A set of world-line deviation equations is derived in the framework of Mathisson-Papapetrou-Dixon description of pseudo-classical spinning particles. They generalize the geodesic deviation equations. We examine the resulting equations for particles moving in the space-time of a plane gravitational wave.