The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits

Details The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits

2004-04-20

arxiv.org/abs/gr-qc/0404085v4

Class.Quant.Grav. 21 (2004) 3771-3802; Erratum-ibid. 22 (2005) 3115

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

45 pages, version which includes the correction of an Erratum to be published in Class. Quant. Grav. (2005)

Scientific paper

10.1088/0264-9381/21/15/010

Using the multipolar post-Minkowskian and matching formalism we compute the gravitational waveform of inspiralling compact binaries moving in quasi-circular orbits at the second and a half post-Newtonian (2.5PN) approximation to general relativity. The inputs we use include notably the mass-type quadrupole at the 2.5PN order, the mass octupole and current quadrupole at the 2PN order, the mass $2^5$-pole and current $2^4$-pole at 1PN. The non-linear hereditary terms come from the monopole-quadrupole multipole interactions or tails, present at the 1.5PN, 2PN and 2.5PN orders, and the quadrupole-quadrupole interaction arising at the 2.5PN level. In particular, the specific effect of non-linear memory is computed using a simplified model of binary evolution in the past. The ``plus'' and ``cross'' wave polarisations at the 2.5PN order are obtained in ready-to-use form, extending the 2PN results calculated earlier by Blanchet, Iyer, Will and Wiseman.

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