The gravitational field in the wave zone. I: The radiating terms of the metric tensor
type: Item
instance of: scholarly article
title: The gravitational field in the wave zone. I: The radiating terms of the metric tensor
zbMATH Open document ID: 0623.53037
DOI: 10.1007/BF00759291
author: S. Persides
published in: General Relativity and Gravitation
publication date: 1987-01-01T00:00:00Z
review text: [For part II, see the following review.] 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 of \(c^{-1}\). The coefficient of each power of \(c^{-1}\) depends on the asymptotically retarted time u and x, 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 order \(c^{-4}\) in terms of the source functions. These expressions hold over all space-time. A further expansion in powers of \(r^{-1}\) gives the first terms of the metric that contribute to gravitational radiation.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 83C30
zbMATH DE Number: 4011387
zbMATH Keywords: asymptotically flat space-time
zbMATH Keywords: perfect fluid
zbMATH Keywords: de Donder gauge conditions
zbMATH Keywords: Einstein equations
zbMATH Keywords: gravitational radiation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4011387