On the equation of motion of compact binaries in Post-Newtonian approximation

Details On the equation of motion of compact binaries in Post-Newtonian approximation On the equation of motion of compact binaries in Post-Newtonian approximation

2004-01-14

arxiv.org/abs/gr-qc/0401059v1

Class.Quant.Grav. 21 (2004) S529-S534

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figure. Proceedings of the 5th Amaldi Conference on Gravitational Waves, Pisa, Italy, 6-11 July 2003

Scientific paper

10.1088/0264-9381/21/5/021

A third post-Newtonian (3 PN) equation of motion for two spherical compact stars in a harmonic coordinate has been derived based on the surface integral approach and the strong field point particle limit. The strong field point particle limit enables us to incorporate a notion of a self-gravitating regular star into general relativity. The resulting 3 PN equation of motion is Lorentz invariant, unambiguous, and conserves an energy of the binary orbital motion.

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