Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-04-03
Phys.Lett. A271 (2000) 58
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, to appear in Physics Letters A, minor changes included
Scientific paper
10.1016/S0375-9601(00)00360-1
We investigate the dynamics of two point-like particles through the third post-Newtonian (3PN) approximation of general relativity. The infinite self-field of each point-mass is regularized by means of Hadamard's concept of ``partie finie''. Distributional forms associated with the regularization are used systematically in the computation. We determine the stress-energy tensor of point-like particles compatible with the previous regularization. The Einstein field equations in harmonic coordinates are iterated to the 3PN order. The 3PN equations of motion are Lorentz-invariant and admit a conserved energy (neglecting the 2.5PN radiation reaction). They depend on an undetermined coefficient, in agreement with an earlier result of Jaranowski and Schaefer. This suggests an incompleteness of the formalism (in this stage of development) at the 3PN order. In this paper we present the equations of motion in the center-of-mass frame and in the case of circular orbits.
Blanchet Luc
Faye Guillaume
No associations
LandOfFree
On the equations of motion of point-particle binaries at the third post-Newtonian order 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 On the equations of motion of point-particle binaries at the third post-Newtonian order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the equations of motion of point-particle binaries at the third post-Newtonian order will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-72983