Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order
Year: 1998
Type: article
Abstract: 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 pointlike particles. We remove systematically the infinite self-field of each particle by means of the Hadamard finite part regularization.
Authors: Luc Blanchet, Guillaume Faye, Bénédicte Ponsot
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2086894912