[0803.3162] Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries

Authors: Thibault Damour, Alessandro Nagar, Mark Hannam, Sascha Husa, Bernd Brugmann

Date: 21 Mar 2008

Abstract: The Effective-One-Body (EOB) formalism contains several flexibility parameters, notably $a_5$, $\vp$ and $\a$. We show here how to jointly determine 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 {\it inspiral} data on one side and newly computed {\it coalescence} data on the other side. The resulting, essentially unique, ‘best-fit’ EOB waveform is then shown to exhibit excellent agreement with NR coalescence data for several mass ratios. The dephasing between EOB and published Caltech-Cornell inspiral data is found to be smaller than $\pm 2\times 10ˆ{-4}$ gravitational wave cycles over the entire span ($\sim 3000M$, corresponding to 30 cycles) of the inspiral simulation. The dephasings between EOB and the new coalescence data are found to be smaller than: (i) $\pm 4\times 10ˆ{-3}$ gravitational wave cycles over $730M$ (11 cycles), in the equal mass case, and (ii) $\pm 8\times 10ˆ{-3}$ gravitational wave cycles over about $900M$ (17 cycles) 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 areneeded by currently operating gravitational wave detectors.

abs pdf

Mar 24, 2008

0803.3162 (/preprints)
2008-03-24, 09:40 [edit]


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