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Gravitational field and equations of motion of compact binaries to5/2post-Newtonian order

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Blanchet, Luc, Faye, Guillaume, Ponsot, Bénédicte·1998·Physical Review D
DOI 10.1103/physrevd.58.124002
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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.

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Metadata

Authors
Blanchet, L., Faye, G., & Ponsot, B.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1998-10-29
Volume
58
Issue
12
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.58.124002
OpenAlex
W2086894912
Cited by
184
References
0
FWCI
5.49
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Gravitational field and equations of motion of compact binaries to5/2post-Newtonian order. https://app.cochat.ai/papers/10.1103/physrevd.58.124002
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Blanchet, L., Faye, G., & Ponsot, B. (1998). Gravitational field and equations of motion of compact binaries to5/2post-Newtonian order. Physical Review D. https://doi.org/10.1103/physrevd.58.124002

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