Structure of the post-Newtonian expansion in general relativity

Journal Article · Mon Aug 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.044024· OSTI ID:20711359

Blanchet, Luc; Faye, Guillaume; Nissanke, Samaya ^[1]

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1. Gravitation et Cosmologie, Institut d'Astrophysique de Paris, C.N.R.S., 98 boulevard Arago, 75014 Paris (France)

In the continuation of a preceding work, we derive a new expression for the metric in the near zone of an isolated matter system in post-Newtonian approximations of general relativity. The post-Newtonian metric, a solution of the field equations in harmonic coordinates, is formally valid up to any order, and is cast in the form of a particular solution of the wave equation, plus a specific homogeneous solution which ensures the asymptotic matching to the multipolar expansion of the gravitational field in the exterior of the system. The new form is suitable for practical computations of the gravitational radiation reaction forces in harmonic coordinates. It also provides some insights on the structure of the post-Newtonian expansion in general relativity and the radiation reaction terms therein.

• OSTI ID: 20711359
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COORDINATES
COSMOLOGY
EINSTEIN FIELD EQUATIONS
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL FIELDS
GRAVITATIONAL RADIATION
GRAVITATIONAL WAVES
MATHEMATICAL SOLUTIONS
WAVE EQUATIONS