The Dynamics of a Classical Spinning Particle in Vaidya Space-Time

TL;DR

This paper investigates the orbital dynamics of a spinning particle in Vaidya space-time using MPD equations, exploring how mass functions influence gravitational wave signals during radiation collapse.

Contribution

It provides a detailed analysis of spinning particle motion in Vaidya space-time, linking mass function choices to orbital responses and gravitational wave emissions.

Findings

Orbital dynamics depend on the chosen mass function.

Potential gravitational wave signatures of accretion effects.

Future detectors may observe these effects.

Abstract

Based on the Mathisson-Papapetrou-Dixon (MPD) equations and the Vaidya metric, the motion of a spinning point particle orbiting a non-rotating star while undergoing radiation-induced gravitational collapse is studied in detail. A comprehensive analysis of the orbital dynamics is performed assuming distinct central mass functions which satisfy the weak energy condition, in order to determine a correspondence between the choice of mass function and the spinning particle's orbital response, as reflected in the gravitational waves emitted by the particle. The analysis presented here is likely most beneficial for the observation of rotating solar mass black holes or neutron stars in orbit around intermediate-sized Schwarzschild black holes undergoing radiation collapse. The possibility of detecting the effects of realistic mass accretion based on this approach is considered. While it seems unlikely to observe such effects based on present technology, they may perhaps become observable with the advent of future detectors.