On the two-body problem in general relativity
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
We consider the two-body problem in post-Newtonian approximations of general relativity. We report the recent results concerning the equations of motion, and the associated Lagrangian formulation, of compact binary systems, at the third post-Newtonian order (1/c^6 beyond the Newtonian acceleration). These equations are necessary when constructing the theoretical templates for searching and analyzing the gravitational-wave signals from inspiralling compact binaries in VIRGO-type experiments.
Cite
@article{arxiv.gr-qc/0108086,
title = {On the two-body problem in general relativity},
author = {Luc Blanchet},
journal= {arXiv preprint arXiv:gr-qc/0108086},
year = {2015}
}
Comments
10 pages, to appear in a special issue of Comptes Rendus de l'Academie des Sciences, Paris, on the subject "Missions Spatiales en Physique Fondamentale"