Charged spinning particles on circular orbits in the Reissner-Nordstr\"om spacetime

TL;DR

This paper investigates the dynamics of charged spinning particles on circular orbits in Reissner-Nordström spacetime, analyzing the gravitomagnetic clock effect and how charge and spin influence particle behavior.

Contribution

It provides a detailed analysis of charged spinning particles' motion and the gravitomagnetic clock effect within the Reissner-Nordström spacetime framework, using the Dixon-Souriau model.

Findings

Derived the gravitomagnetic clock effect for charged spinning particles.

Analyzed the influence of charge and spin orientation on particle trajectories.

Discussed the timing delays for particles with equal or opposite charge and spin.

Abstract

The behaviour of charged spinning test particles moving along circular orbits in the equatorial plane of the Reissner-Nordstr\"om spacetime is studied in the framework of the Dixon-Souriau model completed with standard choices of supplementary conditions. The gravitomagnetic " clock effect", i.e. the delay in the arrival times of two oppositely circulating particles as measured by a static observer, is derived and discussed in the cases in which the particles have equal/opposite charge and spin, the latter being directed along the $z$-axis.