Improved filters for gravitational waves from inspiraling compact binaries

Damour, Thibault and Sathyaprakash, Bangalore Suryanarayana ORCID: https://orcid.org/0000-0003-3845-7586 1998. Improved filters for gravitational waves from inspiraling compact binaries. Physical Review d -Particles, Fields, Gravitation and Cosmology 57 (2) , pp. 885-907. 10.1103/PhysRevD.57.885

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Abstract

The order of the post-Newtonian expansion needed to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiraling compact binaries is explored. A class of approximate wave forms, called P-approximants, is constructed based on the following two inputs: (a) the introduction of two new energy-type and flux-type functions e(v) and f(v), respectively, (b) the systematic use of the Padé approximation for constructing successive approximants of e(v) and f(v). The new P-approximants are not only more effectual (larger overlaps) and more faithful (smaller biases) than the standard Taylor approximants, but also converge faster and monotonically. The presently available (v/c)5-accurate post-Newtonian results can be used to construct P-approximate wave forms that provide overlaps with the exact wave form larger than 96.5%, implying that more than 90% of potential events can be detected with the aid of P-approximants as opposed to a mere 10–15 % that would be detectable using standard post-Newtonian approximants.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	American Physical Society
ISSN:	0556-2821
Last Modified:	24 Oct 2022 10:49
URI:	https://orca.cardiff.ac.uk/id/eprint/45976

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