On the two-body problem in general relativity

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"

References in corpus (3)

• Dimensional regularization of the gravitational interaction of point masses
• Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms
• Equation of motion for relativistic compact binaries with the strong field point particle limit : the second and half post-Newtonian order

Cited by in corpus (1)

• First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals