Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses

Details Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses

2004-09-24

arxiv.org/abs/gr-qc/0409094v2

Phys.Rev. D71 (2005) 024004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.71.024004

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.

Affiliated with

Also associated with

No associations

Rating

Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695027