The post-Newtonian approximation for relativistic compact binaries

Toshifumi Futamase, Yousuke Itoh

Research output: Contribution to journalReview articlepeer-review

102 Citations (Scopus)

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.

Original languageEnglish
Article number2
JournalLiving Reviews in Relativity
Volume10
DOIs
Publication statusPublished - 2007 Mar 12

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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