Dynamics of a classical spinning particle in Vaidya space-time

Dinesh Singh
Phys. Rev. D 72, 084033 – Published 27 October 2005

Abstract

Based on the Mathisson-Papapetrou-Dixon (MPD) equations and the Vaidya metric, the motion of a spinning point particle orbiting a nonrotating 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.

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  • Received 12 September 2005

DOI:https://doi.org/10.1103/PhysRevD.72.084033

©2005 American Physical Society

Authors & Affiliations

Dinesh Singh*

  • Department of Physics, University of Regina Regina, Saskatchewan, S4S 0A2, Canada

  • *Electronic address: singhd@uregina.ca

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Issue

Vol. 72, Iss. 8 — 15 October 2005

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