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Can the post-Newtonian gravitational waveform of an inspiraling binary be improved by solving the energy balance equation numerically?
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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.
Forward citations
Cited by 2 Pith papers
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Tidal effects in the total flux and waveform in massless scalar-tensor theories to, respectively, relative 2PN and 1.5PN orders
Derives next-to-next-to-leading tidal corrections to flux and phasing in scalar-tensor gravity using adapted post-Newtonian multipolar-post-Minkowskian methods under the adiabatic approximation.
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Probing the existence of a minimal length through compact binary inspiral
A minimum length in spacetime would make black holes perfectly reflective below a cutoff frequency, imprinting the inspiral waveform via modified tidal heating.
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