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arXiv · 2304.13647

Gravitational waves from compact binaries to the fourth post-Newtonian order

L. Blanchet·G. Faye·Q. Henry·F. Larrouturou·D. Trestini
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Abstract

The precise knowledge of the gravitational phase evolution of compact binaries is crucial to the data analysis for gravitational waves. Until recently, it was known analytically (for non-spinning systems) up to the 3.5 post-Newtonian (PN) order, i.e. up to the $(v/c)^7$ correction beyond the leading order quadrupole formula. Using a PN-multipolar-post-Minkowskian algorithm, we have pushed the accuracy to the next 4PN level. This derivation involved challenging technical issues, due to the appearance of non-physical divergences, which have to be properly regularized, as well as effects of non-linear multipole interactions.

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L. Blanchet, G. Faye, Q. Henry, F. Larrouturou, D. Trestini. 2023-04-26. Gravitational waves from compact binaries to the fourth post-Newtonian order. https://doi.org/10.58027/bsnq-2422

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