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On the two-body problem in general relativity

Luc Blanchet
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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.

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Luc Blanchet. 2001-08-31. On the two-body problem in general relativity. https://doi.org/10.1016/s1296-2147(01)01267-7

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