Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-10-14
Phys.Rev. D62 (2000) 064002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
revised version. 27pages, three tables, revtex. Some errors have been corrected and some explanations have been added
Scientific paper
10.1103/PhysRevD.62.064002
We derive the equation of motion for the relativistic compact binaries in the post-Newtonian approximation taking explicitly their strong internal gravity into account. For this purpose we adopt the method of the point particle limit where the equation of motion is expressed in terms of the surface integrals. We examine carefully the behavior of the surface integrals in the derivation. As a result, we obtain the Einstein-Infeld-Hoffman equation of motion at the first post-Newtonian (1PN) order, and a part of the 2PN order which depends on the quadrupole moments and the spins of component stars. Hence, it is found that the equation of motion in the post-Newtonian approximation is valid for the compact binaries by a suitable definition of the mass, spin and quadrupole moment.
Asada Hideki
Futamase Toshifumi
Itoh Yousuke
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