Computer Science
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19..847p&link_type=abstract
General Relativity and Gravitation, Volume 19, Issue 9, pp.847-870
Computer Science
3
General Relativity:Gravitational Radiation, Gravitational Radiation:General Relativity
Scientific paper
We consider an asymptotically flat space-time generated by a perfect fluid source of compact spatial support. Using the de Donder gauge conditions, the Einstein equations are reduced to a new form of Poisson-type equations. A formal iterative scheme is set up to solve these equations by expanding the components of the metric tensor in powers ofc -1. The coefficient of each power ofc -1 depends on the asymptotically retarded timeu andx, y, z and satisfies a Poisson-type equation. Assuming asymptotic flatness the solution is carried out in the first orders. The results are explicit expressions of the metric up to orderc -4 in terms of the source functions. These expressions hold over all space-time. A further expansion in powers ofr -1 gives the first terms of the metric that contribute to gravitational radiation.
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