On the structure of the post-Newtonian expansion in general relativity

Details On the structure of the post-Newtonian expansion in general relativity On the structure of the post-Newtonian expansion in general relativity

2005-03-17

arxiv.org/abs/gr-qc/0503075v2

Phys.Rev. D72 (2005) 044024

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.044024

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 provides some insights on the structure of the post-Newtonian expansion in general relativity and the gravitational radiation reaction terms therein.

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