Post-Newtonian factorized multipolar waveforms for spinning, nonprecessing black-hole binaries
- Maryland Center for Fundamental Physics and Joint Space-Science 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)
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.
- OSTI ID:
- 21537523
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevD.83.064003; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
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