The gravitational field in the wave zone I. The radiating terms of the metric tensor |
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Authors: | S Persides |
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Institution: | (1) Department of Astronomy, University of Thessaloniki, 54006 Thessaloniki, Greece |
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Abstract: | 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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Keywords: | |
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