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Conference Paper

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


Henry,  Quentin
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Blanchet, L., Faye, G., Henry, Q., Larrouturou, F., & Trestini, D. (2023). Gravitational waves from compact binaries to the fourth post-Newtonian order. In 57th Rencontres de Moriond on Gravitation (Moriond Gravitation 2023), Proceedings.

Cite as: https://hdl.handle.net/21.11116/0000-000D-30E2-D
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.