About: We introduce /texttt{TEOBResumSP}: an efficient yet accurate hybrid scheme for generating gravitational waveforms from spin-precessing compact binaries. Our approach Euler-rotates aligned-spin /texttt{TEOBResumS} effective-one-body waveforms from a precessing frame to an inertial frame. We obtain the Euler angles by solving the post-Newtonian precession equations expanded to (next-to)$^4$ leading (second post-Newtonian) order and use them in the waveform mode rotations to extend non-precessing /texttt{TEOBResumS} waveforms to generic spin configurations. The scheme is compared to current state-of-the-art precessing approximants /texttt{NRSur7dq4} and /texttt{SEOBNRv4PHM} in terms of frequency-domain matches of the $/ell=2$ gravitational-wave strain for 200 and 1100 binaries, respectively, with the initial gravitational-wave frequencies between 20 and 50 Hz and the precessing spin parameter $/chi_p$ ranging up to one. The matches are better than $0.965$ for 85/% of the /texttt{NRSur7dq4} and 75/% of the /texttt{SEOBNRv4PHM} sets. The largest disagreements occur for large mass ratios and for large spin components along the orbital plane quantified in terms of a new parameter, $S_{/perp,/text{max}}$, that we introduce. The disagreements stem from Euler-rotating non-precessing waveforms with constant spins, which can be replaced by time-varying $z$-components of spins. Our scheme provides a robust alternative precessing approximant to be employed in the parameter estimation of generic-spin compact binaries with /texttt{TEOBResumSP} waveforms.   Goto Sponge  NotDistinct  Permalink

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  • We introduce /texttt{TEOBResumSP}: an efficient yet accurate hybrid scheme for generating gravitational waveforms from spin-precessing compact binaries. Our approach Euler-rotates aligned-spin /texttt{TEOBResumS} effective-one-body waveforms from a precessing frame to an inertial frame. We obtain the Euler angles by solving the post-Newtonian precession equations expanded to (next-to)$^4$ leading (second post-Newtonian) order and use them in the waveform mode rotations to extend non-precessing /texttt{TEOBResumS} waveforms to generic spin configurations. The scheme is compared to current state-of-the-art precessing approximants /texttt{NRSur7dq4} and /texttt{SEOBNRv4PHM} in terms of frequency-domain matches of the $/ell=2$ gravitational-wave strain for 200 and 1100 binaries, respectively, with the initial gravitational-wave frequencies between 20 and 50 Hz and the precessing spin parameter $/chi_p$ ranging up to one. The matches are better than $0.965$ for 85/% of the /texttt{NRSur7dq4} and 75/% of the /texttt{SEOBNRv4PHM} sets. The largest disagreements occur for large mass ratios and for large spin components along the orbital plane quantified in terms of a new parameter, $S_{/perp,/text{max}}$, that we introduce. The disagreements stem from Euler-rotating non-precessing waveforms with constant spins, which can be replaced by time-varying $z$-components of spins. Our scheme provides a robust alternative precessing approximant to be employed in the parameter estimation of generic-spin compact binaries with /texttt{TEOBResumSP} waveforms.
Subject
  • Earth
  • University of Basel alumni
  • Dynamics (mechanics)
  • September 2015 events
  • Precession
  • Gravitational-wave astronomy
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