Please use this identifier to cite or link to this item:
Title: Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses
Authors: Blanchet, Luc
Damour, Thibault
Esposito-Farese, G.
Iyer, B.R.
Issue Date: 2-Jun-2005
Publisher: The American Physical Society
Citation: Physical Review D, 2005, Vol.71, 124004
Abstract: Dimensional regularization is applied to the computation of the gravitational wave field generated by compact binaries at the third post-Newtonian (3PN) approximation. We generalize the wave generation formalism from isolated post-Newtonian matter systems to d spatial dimensions, and apply it to point masses (without spins), modeled by delta-function singularities. We find that the quadrupole moment of point-particle binaries in harmonic coordinates contains a pole when epsilon[equivalent]d-3-->0 at the 3PN order. It is proved that the pole can be renormalized away by means of the same shifts of the particle world lines as in our recent derivation of the 3PN equations of motion. The resulting renormalized (finite when epsilon-->0) quadrupole moment leads to unique values for the ambiguity parameters xi, kappa, and zeta, which were introduced in previous computations using Hadamard's regularization. Several checks of these values are presented. These results complete the derivation of the gravitational waves emitted by inspiralling compact binaries up to the 3.5PN level of accuracy which is needed for detection and analysis of the signals in the gravitational wave antennas LIGO/VIRGO and LISA.
ISSN: 1550-7998
1550-2368 (online)
Alternative Location:
Copyright: (2005) by the American Physical Society
Appears in Collections:Research Papers (TP)

Files in This Item:
File Description SizeFormat 
2005 PR-D V71 p124004.pdf36p.482.17 kBAdobe PDFView/Open

Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.