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In 2002, Poujade and Blanchet succeeded in matching the post-Newtoniansolution to the Einstein field equation to the post-Minkowskian field up to anyarbitrary order as well as reproducing, in a different way, the results of the1998 paper by Blanchet in which he showed how to match the post-Minkowskianseries to the post-Newtonian expansion. Comparing these two papers, it might beasked whether it is possible to match the post-Newtonian field to thepost-Minkowskian one by means of a method similar to the one used in the 1998paper. The answer is affirmative, and in the present paper we provide thisalternative method. Furthermore, detailed proofs of several properties andresults stated in previous papers are given.

Alternative method for matching post-Newtonian expansion to post-Minkowskian field