Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
- Institut des Hautes Etudes Scientifiques, 91440 Bures-sur-Yvette (France)
- Italy
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.
- OSTI ID:
- 21260155
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 79, Issue 6; Other Information: DOI: 10.1103/PhysRevD.79.064004; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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