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http://hdl.handle.net/2289/1191
Title: | Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses |
Authors: | Blanchet, Luc Iyer, B.R. |
Issue Date: | 6-Jan-2005 |
Publisher: | The American Physical Society |
Citation: | Physical Review D, 2005, Vol.71, 024004 |
Abstract: | Continuing previous work on the 3PN-accurate gravitational-wave generation from point-particle binaries, we obtain the binary's 3PN mass-type quadrupole and dipole moments for general (not necessarily circular) orbits in harmonic coordinates. The final expressions are given in terms of their core parts, resulting from the application of the pure-Hadamard-Schwartz self-field regularization scheme, and augmented by an ambiguous part. In the case of the 3PN quadrupole we find three ambiguity parameters, xi, kappa and zeta, but only one for the 3PN dipole, in the form of the particular combination xi+ kappa. Requiring that the dipole moment agree with the center-of-mass position deduced from the 3PN equations of motion in harmonic coordinates yields the relation xi+ kappa=-9871/9240. Our results will form the basis of the complete calculation of the 3PN radiation field of compact binaries by means of dimensional regularization. |
URI: | http://hdl.handle.net/2289/1191 |
ISSN: | 1550-7998 1550-2368 (online) |
Alternative Location: | http://link.aps.org/abstract/PRD/v71/e024004 |
Copyright: | (2005) by the American Physical Society |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2005 PRD 71 p024004.pdf | 20p. | 266.73 kB | Adobe PDF | View/Open |
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