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Equations of motion according to the asymptotic post-Newtonian scheme for general relativity

Mayeul Arminjon
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Abstract

We summarize a recent work done on the title's subject. First, we present the asymptotic scheme of post-Newtonian (PN) approximation for general relativity in the harmonic gauge. Then, we discuss the definition of the mass centers and the derivation of equations for their motion, following that scheme. Finally, we briefly analyze the reason why a new term has thus been found in the equations of motion.

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Mayeul Arminjon. 2005-10-07. Equations of motion according to the asymptotic post-Newtonian scheme for general relativity. https://arxiv.org/abs/gr-qc/0510026

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