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Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms

Mishra, Chandra Kant and Arun, KG and Iyer, Bala R (2015) Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms. In: PHYSICAL REVIEW D, 91 (8).

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Official URL: http://dx.doi.org/10.1103/PhysRevD.91.084040

Abstract

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian (PN) order. We further extend these results for compact binaries in quasielliptical orbits using the 3PN quasi-Keplerian representation of the conserved dynamics of compact binaries in eccentric orbits. Using the multipolar post-Minkowskian formalism, starting from the different mass and current-type multipole moments, we compute the spin-weighted spherical harmonic decomposition of the instantaneous part of the gravitational waveform. These are terms which are functions of the retarded time and do not depend on the history of the binary evolution. Together with the hereditary part, which depends on the binary's dynamical history, these waveforms form the basis for construction of accurate templates for the detection of gravitational wave signals from binaries moving in quasielliptical orbits.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Keywords: POINT MASSES; STAR SYSTEMS; BLACK-HOLES; RADIATION; ORDER; DYNAMICS; MOTION; EVOLUTION; CLUSTERS; EMISSION
Department/Centre: Division of Physical & Mathematical Sciences > Joint Astronomy Programme
Depositing User: Id for Latest eprints
Date Deposited: 22 May 2015 07:29
Last Modified: 22 May 2015 07:29
URI: http://eprints.iisc.ac.in/id/eprint/51563

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