skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries

Abstract

We improve and generalize a resummation method of post-Newtonian 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 post-Newtonian 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) leading-order 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 l-th root: {rho}{sub lm}=f{sub lm}{sup 1/l}. In the extreme-mass-ratio case, this resummation procedure results in a much better agreement between analytical and numerical waveforms than when using standard post-Newtonian 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 (extreme-mass-ratio case) to 1/4 (equal-mass case). The present paper also completes our knowledge of the first post-Newtonian corrections to multipole moments by computing ready-to-use explicit expressions for themore » first post-Newtonian contributions to the odd-parity (current) multipoles.« less

Authors:
 [1];  [2];  [1];  [1];  [2]
  1. Institut des Hautes Etudes Scientifiques, 91440 Bures-sur-Yvette (France)
  2. 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 0556-2821
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 post-Newtonian 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 post-Newtonian 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 post-Newtonian multipolar waveforms from circularized compact binaries". United States. doi:10.1103/PHYSREVD.79.064004.
@article{osti_21260155,
title = {Improved resummation of post-Newtonian 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 post-Newtonian 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 post-Newtonian 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) leading-order 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 l-th root: {rho}{sub lm}=f{sub lm}{sup 1/l}. In the extreme-mass-ratio case, this resummation procedure results in a much better agreement between analytical and numerical waveforms than when using standard post-Newtonian 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 (extreme-mass-ratio case) to 1/4 (equal-mass case). The present paper also completes our knowledge of the first post-Newtonian corrections to multipole moments by computing ready-to-use explicit expressions for the first post-Newtonian contributions to the odd-parity (current) multipoles.},
doi = {10.1103/PHYSREVD.79.064004},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 79,
place = {United States},
year = {2009},
month = {3}
}