The Ricci Rotation Coefficients in the description of trajectories of spinning test particles off-equatorial planes in a rotational gravitational field

TL;DR

This paper investigates the trajectories of spinning and spinless test particles around rotating massive bodies using the Mathisson-Papapetrou-Dixon equations, emphasizing the role of Ricci rotation coefficients in off-equatorial plane motion.

Contribution

It introduces a detailed analysis of spinning particle trajectories incorporating Ricci rotation coefficients, extending previous models to include off-equatorial orbits in rotating gravitational fields.

Findings

Trajectories depend on Ricci rotation coefficients and particle spin.

Off-equatorial orbits are characterized by specific curvature and rotation effects.

The model enhances understanding of spinning particle dynamics in astrophysical contexts.

Abstract

We describe the trajectories of circular orbits of spinless and spinning test particles around of rotating bodies in equatorial and non-equatorial planes via the Mathisson-Papapetrou-Dixon equations which include the Ricci rotation coefficients with the purpose of describing not only the curvature of space time, but also the rotation of the spinning test particles that orbit around the rotating masive bodies.