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The Post-Newtonian Approximation for Relativistic Compact Binaries
Toshifumi Futamase1, Yousuke Itoh1
1Astronomical Institute, Tohoku University, Sendai, 980-8578 Japan.
Abstract:
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.
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