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}
}
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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References

SHOWING 1-10 OF 51 REFERENCES

Analytical determination of the two-body gravitational interaction potential at the fourth post-Newtonian approximation

We complete the analytical determination, at the 4th post-Newtonian approximation, of the main radial potential describing the gravitational interaction of two bodies within the effective one-body…

High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry

We continue a previous work on the comparison between the post-Newtonian (PN) approximation and the gravitational self-force (SF) analysis of circular orbits in a Schwarzschild background. We show…

Post-Newtonian and numerical calculations of the gravitational self-force for circular orbits in the Schwarzschild geometry

The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation…

Effective one-body approach to general relativistic two-body dynamics

We map the general relativistic two-body problem onto that of a test particle moving in an effective external metric. This effective-one-body approach defines, in a non-perturbative manner, the late…

Gauge problem in the gravitational self-force: First post-Newtonian force in the Regge-Wheeler gauge

We discuss the gravitational self-force on a particle in a black hole space-time. For a point particle, the full (bare) self-force diverges. It is known that the metric perturbation induced by a…

Gravitational self-force correction to the binding energy of compact binary systems.

Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two nonspinning compact objects moving on circular orbits with frequency Ω, at…

Gravitational radiative corrections from effective field theory

In this paper we construct an effective field theory (EFT) that describes long wavelength gravitational radiation from compact systems. To leading order, this EFT consists of the multipole expansion,…

Gravitational self-force in a Schwarzschild background and the effective one-body formalism

We discuss various ways in which the computation of conservative gravitational self-force (GSF) effects on a point mass moving in a Schwarzschild background can inform us about the basic building…

Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems

We complete the analytical determination, at the 4th post-Newtonian (4PN) approximation, of the conservative dynamics of gravitationally interacting two-point-mass systems. This completion is…

Gravitational waves from inspiraling compact binaries: Energy flux to third post-Newtonian order

The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third…
...