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.
CITATION STYLE
Futamase, T., & Itoh, Y. (2007, March 12). The post-Newtonian approximation for relativistic compact binaries. Living Reviews in Relativity. Albert Einstein Institut. https://doi.org/10.12942/lrr-2007-2
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