Gravitational-wave tails of tails

Details Gravitational-wave tails of tails Gravitational-wave tails of tails

1997-10-07

arxiv.org/abs/gr-qc/9710038v2

Class.Quant.Grav.15:113-141,1998; Erratum-ibid.22:3381,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contains 2 files: a tex file B98tailgrqc.tex and a latex file tabtail.tex. This version includes the correction of an Erratum

Scientific paper

10.1088/0264-9381/15/1/009

The tails of gravitational waves are caused by scattering of linear waves onto the space-time curvature generated by the total mass-energy of the source. Quite naturally, the tails of tails are caused by curvature scattering of the tails of waves themselves. The tails of tails are associated with the cubic non-linear interaction between two mass monopole moments and, dominantly, the mass quadrupole of the source. In this paper we determine the radiation field at large distances from the source for this particular monopole-monopole-quadrupole interaction. We find that the tails of tails appear at the third post-Newtonian (3PN) order beyond the usual quadrupole radiation. Motivated by the need of accurate templates to be used in the data analysis of future detectors of gravitational waves, we compute the contribution of tails, and of tails of tails, up to the 3.5PN order in the energy flux generated by inspiraling compact binaries.

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