Spinning particles in General Relativity

TL;DR

This paper investigates the dynamics of spinning particles in gravitational fields from quantum and classical perspectives, exploring their interactions with spacetime curvature and deriving equations in higher-dimensional frameworks.

Contribution

It provides a detailed analysis of spinning particle behavior in gravity, including dimensional reduction of equations and insights into physical degrees of freedom in quantum gravity.

Findings

Interaction between spin and curvature influences particle motion.

Dimensional reduction yields simplified equations in Kaluza-Klein backgrounds.

Results extend Dixon-Souriau equations to charged spinning bodies.

Abstract

We analyze the behavior of a spinning particle in gravity, both from a quantum and a classical point of view. We infer that, since the interaction between the space-time curvature and a spinning test particle is expected, then the main features of such an interaction can get light on which degrees of freedom have physical meaning in a quantum gravity theory with fermions. Finally, the dimensional reduction of Papapetrou equations is performed in a 5-dimensional Kaluza-Klein background and Dixon-Souriau results for the motion of a charged spinning body are obtained.