Non-linear multipole interactions and gravitational-wave octupole modes for inspiralling compact binaries to third-and-a-half post-Newtonian order
This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between post-Newtonian approximations and numerical relativity computations....
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| Published in | Classical and quantum gravity Vol. 32; no. 4; pp. 45016 - 45052 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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IOP Publishing
19.02.2015
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| Abstract | This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between post-Newtonian approximations and numerical relativity computations. It presents (i) the non-linear couplings between multipole moments of general post-Newtonian matter sources up to order 3.5PN, including all contributions from tails, tails-of-tails and the non-linear memory effect; and (ii) the source mass-type octupole moment of (non-spinning) compact binaries up to order 3PN, which permits completion of the expressions of the octupole modes and of the gravitational waveform to order 3.5PN. On this occasion we reconfirm by means of independent calculations our earlier results concerning the source mass-type quadrupole moment to order 3PN. Related discussions on factorized resummed waveforms and the occurence of logarithmic contributions to high order are also included. |
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| AbstractList | This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between post-Newtonian approximations and numerical relativity computations. It presents (i) the non-linear couplings between multipole moments of general post-Newtonian matter sources up to order 3.5PN, including all contributions from tails, tails-of-tails and the non-linear memory effect; and (ii) the source mass-type octupole moment of (non-spinning) compact binaries up to order 3PN, which permits completion of the expressions of the octupole modes and of the gravitational waveform to order 3.5PN. On this occasion we reconfirm by means of independent calculations our earlier results concerning the source mass-type quadrupole moment to order 3PN. Related discussions on factorized resummed waveforms and the occurence of logarithmic contributions to high order are also included. This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between post-Newtonian approximations and numerical relativity computations. It presents (i) the non-linear couplings between multipole moments of general post-Newtonian matter sources up to order 3.5PN, including all contributions from tails, tails-of-tails and the non-linear memory effect; and (ii) the source mass-type octupole moment of (non-spinning) compact binaries up to order 3PN, which permits completion of the expressions of the octupole modes &$(3,3)$; and &$(3,1)$; of the gravitational waveform to order 3.5PN. On this occasion we reconfirm by means of independent calculations our earlier results: concerning the source mass-type quadrupole moment to order 3PN. Related discussions on factorized resummed waveforms and the occurence of logarithmic contributions to high order are also included. |
| Author | Faye, Guillaume Blanchet, Luc Iyer, Bala R |
| Author_xml | – sequence: 1 givenname: Guillaume surname: Faye fullname: Faye, Guillaume email: faye@iap.fr organization: Institut d'Astrophysique de Paris-UMR 7095 du CNRS, Université Pierre & Marie Curie , 98 boulevard Arago, 75014 Paris, France – sequence: 2 givenname: Luc surname: Blanchet fullname: Blanchet, Luc email: blanchet@iap.fr organization: Institut d'Astrophysique de Paris-UMR 7095 du CNRS, Université Pierre & Marie Curie , 98 boulevard Arago, 75014 Paris, France – sequence: 3 givenname: Bala R surname: Iyer fullname: Iyer, Bala R email: bri@rri.res.in organization: Raman Research Institute , Bangalore 560 080, India |
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| References | 44 45 47 49 Blanchet L (30) 1990 Damour T (48) 2011 Kidder L (14) 2007; 24 Blanchet L (42) 2003; 20 Arun K (13) 2005; 22 Gradshteyn I (52) 1980 Blanchet L (2) 1998; 15 50 Blanchet L (21) 1998; 15 51 10 15 18 19 Blanchet L (11) 1996; 13 Messiah A (46) 1959 1 4 5 6 7 8 9 20 22 23 Arun K (12) 2004; 21 25 26 Blanchet L (16) 2008; 25 27 Blanchet L (3) 2005; 22 28 29 Faye G (17) 2012; 29 31 Blanchet L (34) 1998; 15 32 33 35 36 37 38 39 Martín-García J M (24) 2002 40 41 43 |
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| SubjectTerms | Approximation black holes Couplings Gravitational waves Multipoles neutron stars Nonlinearity perturbation theory post-Newtonian approximation Quadrupoles Quantum gravity related approximations Waveforms |
| Title | Non-linear multipole interactions and gravitational-wave octupole modes for inspiralling compact binaries to third-and-a-half post-Newtonian order |
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