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

K G Arun·Luc Blanchet·Bala R Iyer·Moh'd S S Qusailah
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Abstract

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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K G Arun, Luc Blanchet, Bala R Iyer, Moh'd S S Qusailah. 2005-05-27. The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits. https://doi.org/10.1088/0264-9381%2F21%2F15%2F010

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