Spinning test particles in Weyl spacetimes

TL;DR

This paper investigates the dynamics of spinning test particles in Weyl spacetimes, analyzing their motion, spin interactions, and implications for gravitomagnetic effects in various black hole and particle configurations.

Contribution

It provides a detailed analysis of spinning particle motion in complex Weyl backgrounds, including superimposed fields and multiple black holes, with applications to gravitomagnetic phenomena.

Findings

Spin coupling depends on background parameters.

Different Weyl configurations affect particle trajectories.

Applications to gravitomagnetic clock effects are explored.

Abstract

The motion of spinning test particles along circular orbits in static vacuum spacetimes belonging to the Weyl class is discussed. Spin alignment and coupling with background parameters in the case of superimposed Weyl fields, corresponding to a single Schwarzschild black hole and single Chazy-Curzon particle as well as to two Schwarzschild black holes and two Chazy-Curzon particles, are studied in detail for standard choices of supplementary conditions. Applications to the gravitomagnetic "clock effect" are also discussed.