The Post-Newtonian Approximation for Relativistic Compact Binaries

@inproceedings{Futamase2007ThePA,
  title={The Post-Newtonian Approximation for Relativistic Compact Binaries},
  author={Toshifumi Futamase and Yousuke Itoh},
  booktitle={Living reviews in relativity},
  year={2007}
}
We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we show a method to derive post-Newtonian equations of motion for relativistic compact binaries based on a surface integral approach and the strong field point particle limit. As an application we derive third post-Newtonian equations of motion for relativistic compact binaries which respect the Lorentz invariance in the post-Newtonian perturbative… CONTINUE READING