Spinning particles in the vacuum C metric

TL;DR

This paper investigates the dynamics of spinning particles in the vacuum C metric, focusing on circular orbits and the effects of spin and acceleration coupling, providing algebraic relations from the equations of motion.

Contribution

It offers a detailed analysis of spinning particle motion in the C metric, highlighting the influence of spin and acceleration coupling on orbital behavior.

Findings

Derived algebraic relations for particle motion

Analyzed spin-acceleration coupling effects

Discussed implications for particle trajectories

Abstract

The motion of a spinning test particle given by the Mathisson-Papapetrou equations is studied on an exterior vacuum C metric background spacetime describing the accelerated motion of a spherically symmetric gravitational source. We consider circular orbits of the particle around the direction of acceleration of the source. The symmetries of this configuration lead to the reduction of the differential equations of motion to algebraic relations. The spin supplementary conditions as well as the coupling between the spin of the particle and the acceleration of the source are discussed.