PostNewtonian factorized multipolar waveforms for spinning, nonprecessing blackhole binaries
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 f{sub lm} with its lth root, {rho}{sub lm}=f{sub lm}{sup 1/l}, agree quite well with the numerical amplitudes up to the Kerrspin 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 blackhole can be further improved at high velocities by properly factoring out the lowerorder postNewtonian contributions in {rho}{sub lm}. The resummation procedure results in a better and systematic agreement between numerical and analytical amplitudes (and energy fluxes) than standard Taylorexpanded postNewtonian approximants. This is particularly true for higherorder modes, such as (2,1), (3,3), (3,2), and (4,4), for which less spin postNewtonian terms are known. We also extend the factorized resummation of multipolar amplitudes to generic massratio, nonprecessing, spinning black holes. Lastly, in our study we employ new, recently computed, higherorder postNewtonian terms in several subdominant modes and compute explicit expressions for the half andmore »
 Authors:

 Maryland Center for Fundamental Physics and Joint SpaceScience Institute, Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)
 Raman Research Institute, Bangalore 560 080 (India)
 Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka 560 0043 (Japan)
 Publication Date:
 OSTI Identifier:
 21537523
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 83; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.83.064003; (c) 2011 American Institute of Physics; Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; AMPLITUDES; BLACK HOLES; GENERAL RELATIVITY THEORY; GRAVITATIONAL WAVE DETECTORS; KERR FIELD; MASS; MULTIPOLES; PARITY; RELATIVISTIC RANGE; SPACE; SPIN; VELOCITY; WAVE FORMS; ANGULAR MOMENTUM; ENERGY RANGE; FIELD THEORIES; GRAVITATIONAL FIELDS; MEASURING INSTRUMENTS; PARTICLE PROPERTIES; RADIATION DETECTORS; RELATIVITY THEORY
Citation Formats
Pan, Yi, Buonanno, Alessandra, Racine, Etienne, Fujita, Ryuichi, and Tagoshi, Hideyuki. PostNewtonian factorized multipolar waveforms for spinning, nonprecessing blackhole binaries. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.83.064003.
Pan, Yi, Buonanno, Alessandra, Racine, Etienne, Fujita, Ryuichi, & Tagoshi, Hideyuki. PostNewtonian factorized multipolar waveforms for spinning, nonprecessing blackhole binaries. United States. doi:10.1103/PHYSREVD.83.064003.
Pan, Yi, Buonanno, Alessandra, Racine, Etienne, Fujita, Ryuichi, and Tagoshi, Hideyuki. Tue .
"PostNewtonian factorized multipolar waveforms for spinning, nonprecessing blackhole binaries". United States. doi:10.1103/PHYSREVD.83.064003.
@article{osti_21537523,
title = {PostNewtonian factorized multipolar waveforms for spinning, nonprecessing blackhole binaries},
author = {Pan, Yi and Buonanno, Alessandra and Racine, Etienne and Fujita, Ryuichi and Tagoshi, Hideyuki},
abstractNote = {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 f{sub lm} with its lth root, {rho}{sub lm}=f{sub lm}{sup 1/l}, agree quite well with the numerical amplitudes up to the Kerrspin 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 blackhole can be further improved at high velocities by properly factoring out the lowerorder postNewtonian contributions in {rho}{sub lm}. The resummation procedure results in a better and systematic agreement between numerical and analytical amplitudes (and energy fluxes) than standard Taylorexpanded postNewtonian approximants. This is particularly true for higherorder modes, such as (2,1), (3,3), (3,2), and (4,4), for which less spin postNewtonian terms are known. We also extend the factorized resummation of multipolar amplitudes to generic massratio, nonprecessing, spinning black holes. Lastly, in our study we employ new, recently computed, higherorder postNewtonian terms in several subdominant modes and compute explicit expressions for the half and oneandhalf postNewtonian contributions to the oddparity (current) and evenparity (odd) multipoles, respectively. Those results can be used to build more accurate templates for groundbased and spacebased gravitationalwave detectors.},
doi = {10.1103/PHYSREVD.83.064003},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 6,
volume = 83,
place = {United States},
year = {2011},
month = {3}
}