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Title: Post-Newtonian factorized multipolar waveforms for spinning, nonprecessing black-hole 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 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 {rho}{sub lm}. 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 andmore » 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.« less

Authors:
; ;  [1];  [2];  [3]
  1. Maryland Center for Fundamental Physics and Joint Space-Science Institute, Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)
  2. Raman Research Institute, Bangalore 560 080 (India)
  3. 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 0556-2821
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. Post-Newtonian factorized multipolar waveforms for spinning, nonprecessing black-hole binaries. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.064003.
Pan, Yi, Buonanno, Alessandra, Racine, Etienne, Fujita, Ryuichi, & Tagoshi, Hideyuki. Post-Newtonian factorized multipolar waveforms for spinning, nonprecessing black-hole binaries. United States. doi:10.1103/PHYSREVD.83.064003.
Pan, Yi, Buonanno, Alessandra, Racine, Etienne, Fujita, Ryuichi, and Tagoshi, Hideyuki. Tue . "Post-Newtonian factorized multipolar waveforms for spinning, nonprecessing black-hole binaries". United States. doi:10.1103/PHYSREVD.83.064003.
@article{osti_21537523,
title = {Post-Newtonian factorized multipolar waveforms for spinning, nonprecessing black-hole 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 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 {rho}{sub lm}. 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.},
doi = {10.1103/PHYSREVD.83.064003},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 83,
place = {United States},
year = {2011},
month = {3}
}