Can the post-Newtonian gravitational waveform of an inspiraling binary be improved by solving the energy balance equation numerically?

Details Can the post-Newtonian gravitational waveform of an inspiraling binary be improved by solving the energy balance equation numerically? Can the post-Newtonian gravitational waveform of an inspiraling binary be improved by solving the energy balance equation numerically?

1999-12-17

arxiv.org/abs/gr-qc/9912075v1

Phys.Rev. D61 (2000) 104015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, RevTeX, 5 figures included via epsf

Scientific paper

10.1103/PhysRevD.61.104015

The detection of gravitational waves from inspiraling compact binaries using matched filtering depends crucially on the availability of accurate template waveforms. We determine whether the accuracy of the templates' phasing can be improved by solving the post-Newtonian energy balance equation numerically, rather than (as is normally done) analytically within the post-Newtonian perturbative expansion. By specializing to the limit of a small mass ratio, we find evidence that there is no gain in accuracy.

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