Physics
Scientific paper
Jul 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..521k&link_type=abstract
General Relativity and Gravitation, Volume 12, Issue 7, pp.521-543
Physics
26
Scientific paper
We continue the calculation begun in Part I of hydrodynamic equations in general relativity according to Fillers' suggested modification of the iteration scheme of Anderson and DeCanio. We carry out this calculation far enough into the third and fourth iterations to obtain two principal results: First, we obtain a Newtonian-like force equation which is manifestly finite through the leading term of the radiation-reaction force (the 21/2 post-Newtonian approximation). Going beyond the 21/2 PNA, we find, and explicitly present, divergent terms which cannot be canceled out within this scheme. The implications of these results are discussed.
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