Accurate effective-one-body waveforms of inspiralling and coalescing black-hole binaries

Damour, Thibault, Nagar, Alessandro, Hannam, Mark ORCID: https://orcid.org/0000-0001-5571-325X, Husa, Sascha and Brügmann, Bernd 2008. Accurate effective-one-body waveforms of inspiralling and coalescing black-hole binaries. Physical Review D 78 (4) , 044039. 10.1103/PhysRevD.78.044039

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Abstract

The effective-one-body (EOB) formalism contains several flexibility parameters, notably a5, vpole, and a̅ RR. We show here how to jointly constrain the values of these parameters by simultaneously best-fitting the EOB waveform to two, independent, numerical relativity (NR) simulations of inspiralling and/or coalescing binary black-hole systems: published Caltech-Cornell inspiral data (considered for gravitational wave frequencies Mω≤0.1) on one side, and newly computed coalescence data on the other side. The resulting, approximately unique, “best-fit” EOB waveform is then shown to exhibit excellent agreement with NR coalescence data for several mass ratios. The dephasing between this best-fit EOB waveform and published Caltech-Cornell inspiral data is found to vary between -0.0014 and +0.0008 radians over a time span of ∼2464M up to gravitational wave frequency Mω=0.1, and between +0.0013 and -0.0185 over a time span of 96M after Mω=0.1 up to Mω=0.1565. The dephasings between EOB and the new coalescence data are found to be smaller than: (i) ±0.025 radians over a time span of 730M (11 cycles) up to merger, in the equal-mass case, and (ii) ±0.05 radians over a time span of about 950M (17 cycles) up to merger in the 2∶1 mass-ratio case. These new results corroborate the aptitude of the EOB formalism to provide accurate representations of general relativistic waveforms, which are needed by currently operating gravitational wave detectors.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	American Physical Society
ISSN:	1550-7998
Last Modified:	20 Oct 2022 08:18
URI:	https://orca.cardiff.ac.uk/id/eprint/27879

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