The Post-Newtonian Approximation for Relativistic Compact Binaries.
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 sense, admit a conserved energy, and are free from any ambiguity.
Astronomical Institute, Tohoku University, Sendai, 980-8578 Japan.
Toshifumi
T
Futamase
Astronomical Institute, Tohoku University, Sendai, 980-8578 Japan.
Yousuke
Y
Itoh