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arXiv · 2210.15602

Complete gravitational-waveform amplitude modes for quasi-circular compact binaries to the 3.5PN order

Quentin Henry
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Abstract

We complete the computation of the gravitational waveform amplitude for non-spinning compact binaries to the third and a half post-Newtonian (PN) order in the quasi-circular case. This is done by performing a spin-weighted spherical harmonics decomposition of the amplitude. This computation is achieved using the post-Newtonian-Multipolar-post-Minkowskian formalism. The amplitude modes are written in a PN expanded way as well as a factorized form suitable for EOB template building. Combining this work with previous ones, we provide in the supplemental materials the expressions of the modes including all non-spinning and spinning effects to the 3.5PN order for non-precessing quasi-circular binaries.

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Quentin Henry. 2022-10-27. Complete gravitational-waveform amplitude modes for quasi-circular compact binaries to the 3.5PN order. https://doi.org/10.1103/physrevd.107.044057

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