BN6 - Post-Newtonian expansion and analytic approximations |
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Speaker |
Marchand, Tanguy |
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Coauthors |
Faye, Guillaume; Blanchet, Luc |
| Talk Title |
Gravitational-wave tail effects to quartic non-linear order |
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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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