Gravitationalwave tail effects to quartic nonlinear order
Abstract
Gravitationalwave tails are due to the backscattering of linear waves onto the spacetime curvature generated by the total mass of the matter source. The dominant tails correspond to quadratic nonlinear interactions and arise at the oneandahalf postNewtonian (1.5 PN) order in the gravitational waveform. The ‘tailsoftails’, which are cubic nonlinear effects appearing at the 3 PN order in the waveform, are also known. We derive here higher nonlinear tail effects, namely those associated with quartic nonlinear interactions or ‘tailsoftailsoftails’, which are shown to arise at the 4.5 PN order. As an application, we obtain at that order the complete coefficient in the total gravitationalwave energy flux of compact binary systems moving on circular orbits. Our result perfectly agrees with blackhole perturbation calculations in the limit of extreme mass ratio of the two compact objects.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 December 2016
 DOI:
 10.1088/02649381/33/24/244003
 arXiv:
 arXiv:1607.07601
 Bibcode:
 2016CQGra..33x4003M
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 32 pages, no figure, matches with published version