Geodesic deviations: modeling extreme mass-ratio systems and their gravitational waves
Abstract
The method of geodesic deviations has been applied to derive accurate analytic approximations to geodesics in Schwarzschild space-time. The results are used to construct analytic expressions for the source terms in the Regge-Wheeler and Zerilli-Moncrief equations, which describe the propagation of gravitational waves emitted by a compact massive object moving in the Schwarzschild background space-time. The wave equations are solved numerically to provide the asymptotic form of the wave at large distances for a series of non-circular bound orbits with periastron distances up to the ISCO radius, and the power emitted in gravitational waves by the extreme-mass ratio binary system is computed. The results compare well with those of purely numerical approaches.
Cite
@article{arxiv.1103.5612,
title = {Geodesic deviations: modeling extreme mass-ratio systems and their gravitational waves},
author = {G. Koekoek and J. W. van Holten},
journal= {arXiv preprint arXiv:1103.5612},
year = {2015}
}