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Gravitational waves from inspiraling compact binaries: Second post-Newtonian waveforms as search templates

Serge Droz·Eric Poisson
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Abstract

We ascertain the effectiveness of the second post-Newtonian approximation to the gravitational waves emitted during the adiabatic inspiral of a compact binary system as templates for signal searches with kilometer-scale interferometric detectors. The reference signal is obtained by solving the Teukolsky equation for a small mass moving on a circular orbit around a large nonrotating black hole. Fitting factors computed from this signal and these templates, for various types of binary systems, are all above the 90% mark. According to Apostolatos' criterion, second post-Newtonian waveforms should make acceptably effective search templates.

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Serge Droz, Eric Poisson. 1997-05-13. Gravitational waves from inspiraling compact binaries: Second post-Newtonian waveforms as search templates. https://doi.org/10.1103/physrevd.56.4449

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