On the two-body problem in general relativity
arXiv:gr-qc/0108086 · doi:10.1016/S1296-2147(01)01267-7
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.
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"