Talk detail

Participant	Marchand, Tanguy
Institution	Institut d'Astrophysique de Paris - 98 bis boulevard Arago - Paris - Paris - France

Session	BN6	Accepted	Yes	Order	6	Time	18:00	25'
Talk	Oral abstract	Title	Gravitational-wave tail effects to quartic non-linear order
Coauthors	Faye, Guillaume; Blanchet, Luc
Abstract	Gravitational-wave tails are due to the backscattering of linear waves onto the space-time curvature generated by the total mass of the matter source. The dominant tails correspond to quadratic non-linear interactions and arise at the one-and-a-half post-Newtonian (1.5 PN) order in the gravitational waveform. The ‘tails-of-tails’, which are cubic non-linear effects appearing at the 3 PN order in the waveform, are also known. We derive here higher non-linear tail effects, namely those associated with quartic non-linear interactions or ‘tails-of-tails-of-tails’, which are shown to arise at the 4.5 PN order. As an application, we obtain at that order the complete 4.5PN coefficient in the total gravitational-wave energy flux of compact binary systems moving on circular orbits. Our result perfectly agrees with black-hole perturbation calculations in the limit of extreme mass ratio of the two compact objects, and has been since confirmed by independent EOB computations.
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