On the two-body problem in general relativity

Details On the two-body problem in general relativity On the two-body problem in general relativity

2001-08-31

arxiv.org/abs/gr-qc/0108086v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, to appear in a special issue of Comptes Rendus de l'Academie des Sciences, Paris, on the subject "Missions Spatiales

Scientific paper

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.

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