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

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.