eng
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Living Reviews in Relativity
1433-8351
2007-03-12
10
2
10.12942/lrr-2007-2
lrr-2007-2
article
The Post-Newtonian Approximation for Relativistic Compact Binaries
Toshifumi Futamase
1
Yousuke Itoh
2
Astronomical Institute, Tohoku University, Sendai 980-8578, Japan
Astronomical Institute, Tohoku University, Sendai 980-8578, Japan
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.
http://www.livingreviews.org/lrr-2007-2
post-Newtonian approximations, post-Newtonian expansion, equations of motion, relativistic binary systems, binary dynamics