Equation of Motion of a Spinning Test Particle in Gravitational Field

TL;DR

This paper derives the equation of motion for a spinning test particle in a gravitational field, showing deviations from geodesic motion due to spin-field coupling, which explains Lense-Thirring effects and aligns with Papapetrou's results.

Contribution

It introduces a new derivation of the spinning particle's motion equation based on spin-gravitoelectromagnetic coupling, highlighting deviations from geodesics.

Findings

Spinning particles deviate from geodesic trajectories.

Deviation originates from spin-gravitoelectromagnetic coupling.

Results agree with Papapetrou equation in post-Newtonian approximation.

Abstract

Based on the coupling between the spin of a particle and gravitoelectromagnetic field, the equation of motion of a spinning test particle in gravitational field is deduced. From this equation of motion, it is found that the motion of a spinning particle deviates from the geodesic trajectory, and this deviation originates from the coupling between the spin of the particle and gravitoelectromagnetic field, which is also the origin of Lense-Thirring effects. In post-Newtonian approximations, this equation gives out the same results as those of Papapetrou equation. Effect of the deviation of geodesic trajectory is detectable.