Improved resummation of postNewtonian multipolar waveforms from circularized compact binaries
Abstract
We improve and generalize a resummation method of postNewtonian multipolar waveforms from circular (nonspinning) compact binaries introduced in Refs. 1,2. One of the characteristic features of this resummation method is to replace the usual additive decomposition of the standard postNewtonian approach by a multiplicative decomposition of the complex multipolar waveform h{sub lm} into several (physically motivated) factors: (i) the Newtonian waveform, (ii) a relativistic correction coming from an 'effective source', (iii) leadingorder tail effects linked to propagation on a Schwarzschild background, (iv) a residual tail dephasing, and (v) residual relativistic amplitude corrections f{sub lm}. We explore here a new route for resumming f{sub lm} based on replacing it by its lth root: {rho}{sub lm}=f{sub lm}{sup 1/l}. In the extrememassratio case, this resummation procedure results in a much better agreement between analytical and numerical waveforms than when using standard postNewtonian approximants. We then show that our best approximants behave in a robust and continuous manner as we deform them by increasing the symmetric mass ratio {nu}{identical_to}m{sub 1}m{sub 2}/(m{sub 1}+m{sub 2}){sup 2} from 0 (extrememassratio case) to 1/4 (equalmass case). The present paper also completes our knowledge of the first postNewtonian corrections to multipole moments by computing readytouse explicit expressions for themore »
 Authors:

 Institut des Hautes Etudes Scientifiques, 91440 BuressurYvette (France)
 Italy
 Publication Date:
 OSTI Identifier:
 21260155
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 79; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.79.064004; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ADDITIVES; AMPLITUDES; CORRECTIONS; DECOMPOSITION; MASS; MULTIPOLES; PARITY; RELATIVISTIC RANGE; SCHWARZSCHILD METRIC; WAVE FORMS
Citation Formats
Damour, Thibault, ICRANet, 65122 Pescara, Iyer, Bala R, Raman Research Insitute, Bangalore 560 080, Nagar, Alessandro, ICRANet, 65122 Pescara, and INFN, Sezione di Torino, Via Pietro Giuria 1, Torino. Improved resummation of postNewtonian multipolar waveforms from circularized compact binaries. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVD.79.064004.
Damour, Thibault, ICRANet, 65122 Pescara, Iyer, Bala R, Raman Research Insitute, Bangalore 560 080, Nagar, Alessandro, ICRANet, 65122 Pescara, & INFN, Sezione di Torino, Via Pietro Giuria 1, Torino. Improved resummation of postNewtonian multipolar waveforms from circularized compact binaries. United States. doi:10.1103/PHYSREVD.79.064004.
Damour, Thibault, ICRANet, 65122 Pescara, Iyer, Bala R, Raman Research Insitute, Bangalore 560 080, Nagar, Alessandro, ICRANet, 65122 Pescara, and INFN, Sezione di Torino, Via Pietro Giuria 1, Torino. Sun .
"Improved resummation of postNewtonian multipolar waveforms from circularized compact binaries". United States. doi:10.1103/PHYSREVD.79.064004.
@article{osti_21260155,
title = {Improved resummation of postNewtonian multipolar waveforms from circularized compact binaries},
author = {Damour, Thibault and ICRANet, 65122 Pescara and Iyer, Bala R and Raman Research Insitute, Bangalore 560 080 and Nagar, Alessandro and ICRANet, 65122 Pescara and INFN, Sezione di Torino, Via Pietro Giuria 1, Torino},
abstractNote = {We improve and generalize a resummation method of postNewtonian multipolar waveforms from circular (nonspinning) compact binaries introduced in Refs. 1,2. One of the characteristic features of this resummation method is to replace the usual additive decomposition of the standard postNewtonian approach by a multiplicative decomposition of the complex multipolar waveform h{sub lm} into several (physically motivated) factors: (i) the Newtonian waveform, (ii) a relativistic correction coming from an 'effective source', (iii) leadingorder tail effects linked to propagation on a Schwarzschild background, (iv) a residual tail dephasing, and (v) residual relativistic amplitude corrections f{sub lm}. We explore here a new route for resumming f{sub lm} based on replacing it by its lth root: {rho}{sub lm}=f{sub lm}{sup 1/l}. In the extrememassratio case, this resummation procedure results in a much better agreement between analytical and numerical waveforms than when using standard postNewtonian approximants. We then show that our best approximants behave in a robust and continuous manner as we deform them by increasing the symmetric mass ratio {nu}{identical_to}m{sub 1}m{sub 2}/(m{sub 1}+m{sub 2}){sup 2} from 0 (extrememassratio case) to 1/4 (equalmass case). The present paper also completes our knowledge of the first postNewtonian corrections to multipole moments by computing readytouse explicit expressions for the first postNewtonian contributions to the oddparity (current) multipoles.},
doi = {10.1103/PHYSREVD.79.064004},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 6,
volume = 79,
place = {United States},
year = {2009},
month = {3}
}