Title:	Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
Authors:	Pan, Yi Buonanno, Alessandra Fujita, Ryuichi Racine, Etienne Tagoshi, Hideyuki
Issue Date:	Mar-2011
Publisher:	American Physical Society
Citation:	Physical Review D, 2011, Vol. 83, p064003
Abstract:	We generalize the factorized resummation of multipolar waveforms introduced by Damour, Iyer, and Nagar to spinning black holes. For a nonspinning test particle spiraling a Kerr black hole in the equatorial plane, we find that factorized multipolar amplitudes which replace the residual relativistic amplitude fℓm with its ℓth root, ρℓm=f1/ℓℓm, agree quite well with the numerical amplitudes up to the Kerr-spin value q≤0.95 for orbital velocities v≤0.4. The numerical amplitudes are computed solving the Teukolsky equation with a spectral code. The agreement for prograde orbits and large spin values of the Kerr black-hole can be further improved at high velocities by properly factoring out the lower-order post-Newtonian contributions in ρℓm. The resummation procedure results in a better and systematic agreement between numerical and analytical amplitudes (and energy fluxes) than standard Taylor-expanded post-Newtonian approximants. This is particularly true for higher-order modes, such as (2,1), (3,3), (3,2), and (4,4), for which less spin post-Newtonian terms are known. We also extend the factorized resummation of multipolar amplitudes to generic mass-ratio, nonprecessing, spinning black holes. Lastly, in our study we employ new, recently computed, higher-order post-Newtonian terms in several subdominant modes and compute explicit expressions for the half and one-and-half post-Newtonian contributions to the odd-parity (current) and even-parity (odd) multipoles, respectively. Those results can be used to build more accurate templates for ground-based and space-based gravitational-wave detectors.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/7879
ISSN:	2470-0010 2470-0029 (Online)
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2011PhRvD..83f4003P/abstract https://arxiv.org/abs/1006.0431
Copyright:	2011 American Physical Society
Appears in Collections:	Research Papers (A&A)

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