Length requirements for numerical-relativity waveforms

Author(s)
Mark Hannam, Sascha Husa, Frank Ohme, Parameswaran Ajith
Abstract

One way to produce complete inspiral-merger-ringdown gravitational waveforms from black-hole-binary systems is to connect post-Newtonian (PN) and numerical-relativity (NR) results to create "hybrid" waveforms. Hybrid waveforms are central to the construction of some phenomenological models for gravitational-wave (GW) search templates, and for tests of GW search pipelines. The dominant error source in hybrid waveforms arises from the PN contribution, and can be reduced by increasing the number of NR GW cycles that are included in the hybrid. Hybrid waveforms are considered sufficiently accurate for GW detection if their mismatch error is below 3% (i.e., a fitting factor above 0.97). We address the question of the length requirements of NR waveforms such that the final hybrid waveforms meet this requirement, considering nonspinning binaries with q=M2/M1 isin [1,4] and equal-mass binaries with chi =Si/Mi2 isin [-0.5,0.5]. We conclude that, for the cases we study, simulations must contain between three (in the equal-mass nonspinning case) and ten (the chi =0.5 case) orbits before merger, but there is also evidence that these are the regions of parameter space for which the least number of cycles will be needed.

Organisation(s)
Gravitational Physics
External organisation(s)
University of the Balearic Islands, Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut), California Institute of Technology (Caltech)
Journal
Physical Review D
Volume
82
No. of pages
13
ISSN
1550-7998
DOI
https://doi.org/10.1103/PhysRevD.82.124052
Publication date
2010
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Portal url
https://ucris.univie.ac.at/portal/en/publications/length-requirements-for-numericalrelativity-waveforms(e13c003e-9d80-44b1-a6d9-b4aec72c8d7f).html