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General Relativity and Quantum Cosmology

arXiv:0711.0250 (gr-qc)
[Submitted on 2 Nov 2007 (v1), last revised 11 Apr 2008 (this version, v2)]

Title:Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits

Authors:K G Arun, Luc Blanchet, Bala R Iyer, Moh'd S S Qusailah
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Abstract: The far-zone flux of energy contains hereditary (tail) contributions that depend on the entire past history of the source. Using the multipolar post-Minkowskian wave generation formalism, we propose and implement a semi-analytical method in the frequency domain to compute these contributions from the inspiral phase of a binary system of compact objects moving in quasi-elliptical orbits up to 3PN order. The method explicitly uses the quasi-Keplerian representation of elliptical orbits at 1PN order and exploits the doubly periodic nature of the motion to average the 3PN fluxes over the binary's orbit. Together with the instantaneous (non-tail) contributions evaluated in a companion paper, it provides crucial inputs for the construction of ready-to-use templates for compact binaries moving on quasi-elliptic orbits, an interesting class of sources for the ground based gravitational wave detectors such as LIGO and Virgo as well as space based detectors like LISA.
Comments: 32 pages, 10 figures. Minor changes in text throughout. Matches the published version
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.0250 [gr-qc]
  (or arXiv:0711.0250v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.0250
Journal reference: Phys. Rev. D 77, 064034 (2008)
Related DOI: https://doi.org/10.1103/PhysRevD.77.064034

Submission history

From: K G Arun [view email]
[v1] Fri, 2 Nov 2007 13:07:09 UTC (138 KB)
[v2] Fri, 11 Apr 2008 21:46:57 UTC (138 KB)
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