The Post-Newtonian Approximation for Relativistic Compact Binaries

Details The Post-Newtonian Approximation for Relativistic Compact Binaries The Post-Newtonian Approximation for Relativistic Compact Binaries

Mar 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007lrr....10....2f&link_type=abstract

Living Reviews in Relativity, vol. 10, no. 2

Computer Science

21

Post-Newtonian Approximations, Post-Newtonian Expansion, Equations Of Motion, Relativistic Binary Systems, Binary Dynamics

Scientific paper

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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