# High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations

@article{Bini2013HighorderPC,
title={High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations},
author={Donato Bini and T. Damour},
journal={Physical Review D},
year={2013},
volume={89},
pages={064063}
}
• Published 9 December 2013
• Physics
• Physical Review D
We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies beyond the 4th post-Newtonian approximation recently obtained by us. This extension is done to linear order in the mass ratio by applying analytical gravitational self-force theory (for a particle in circular orbit around a Schwarzschild black hole) to Detweiler's gauge-invariant redshift variable. By using the version of black hole…
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The explicit analytical computation of first-order metric perturbations in black hole spacetimes is described in the case of a perturbing mass moving on an equatorial circular orbit. The perturbation
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