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Gravitational waves from compact binaries to the fourth post-Newtonian order
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Gravitational waves from compact binaries to the fourth post-Newtonian order
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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.
Forward citations
Cited by 2 Pith papers
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Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
Computes 1PN conservative dynamics for gravitational/EM/Proca fields and 2PN for scalar, plus radiation effects from axion-photon coupling at high PN orders in binary black hole systems with dark matter.
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Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries
4.5PN and 2SF calculations of gravitational energy flux for quasicircular compact binaries agree.
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