The Post-Newtonian Approximation for Relativistic Compact Binaries

2007/03/12 by Toshifumi Futamase, Y. Itoh · 1 citation
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Black Holes and Theoretical Physics #Astrophysical Phenomena and Observations

paper · pdf · doi:10.12942/lrr-2007-2

openalex publication_date 2007/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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.

Citations

• Discovery of a pulsar in a binary system
• Self-force via a Green’s function decomposition
• Multipole expansions of gravitational radiation
• Binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM formalism
• The Confrontation between General Relativity and Experiment
• Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

Cited by

• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
• General relativity [wikipedia]