Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order

Details Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order

1998-04-29

arxiv.org/abs/gr-qc/9804079v2

Phys.Rev. D58 (1998) 124002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

41 pages to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.58.124002

We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian gravitational field might be used in the problem of initial conditions for the numerical evolution of binary black-hole space-times. On the other hand we recover the Damour-Deruelle 2.5PN equations of motion of compact binary systems. Our method is based on an expression of the post-Newtonian metric valid for general (continuous) fluids. We substitute into the fluid metric the standard stress-energy tensor appropriate for a system of two point-like particles. We remove systematically the infinite self-field of each particle by means of the Hadamard partie finie regularization.

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