High-Accuracy Comparison Between the Post-Newtonian and Self-Force Dynamics of Black-Hole Binaries

@article{Blanchet2009HighAccuracyCB,
  title={High-Accuracy Comparison Between the Post-Newtonian and Self-Force Dynamics of Black-Hole Binaries},
  author={Luc Blanchet and Steven Lawrence Detweiler and Alexandre Le Tiec and Bernard Whiting},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2009},
  volume={162},
  pages={415-442}
}
The relativistic motion of a compact binary system moving in circular orbit is investigated using the post-Newtonian (PN) approximation and the perturbative self-force (SF) formalism. A particular gauge-invariant observable quantity is computed as a function of the binary’s orbital frequency. The conservative effect induced by the gravitational SF is obtained numerically with high precision, and compared to the PN prediction developed to high order. The PN calculation involves the computation… Expand

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