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Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses | | Luc Blanchet
; Bala R. Iyer
; | | Date: |
24 Sep 2004 | | Journal: | Phys.Rev. D71 (2005) 024004 | | Subject: | gr-qc | | 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 (pHS) 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. | | Source: | arXiv, gr-qc/0409094 | | Services: | Forum | Review | PDF | Favorites | |
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