The gravitational field in the wave zone. II: Consequences of asymptotic structure
type: Item
instance of: scholarly article
title: The gravitational field in the wave zone. II: Consequences of asymptotic structure
zbMATH Open document ID: 0623.53038
DOI: 10.1007/BF00759292
author: S. Persides
published in: General Relativity and Gravitation
publication date: 1987-01-01T00:00:00Z
review text: [For part I, see the preceding review.] We consider an asymptotically flat and empty space-time generated by a bounded source of perfect fluid. The vanishing of the conformal Weyl tensor on \({\mathcal J}^+\) and of the Ricci tensor near \({\mathcal J}^+\) are used to simplify the expression obtained in the previous paper for the coefficient of \(r^{-1}\) of the metric tensor after an expansion in powers of \(c^{-1}\). The result is a very simple expression for the dominant term of \(g_{\alpha \beta 0}\) in the radiation zone in terms of the quadrupole moment of the source. Using this expression and an invariant definition of the total energy, we calculate in the framework of full general relativity the radiated energy per unit time and prove that the first term is identical with the quadrupole radiation as given by the linearized version of general relativity.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 83C30
zbMATH DE Number: 4011388
zbMATH Keywords: asymptotically flat
zbMATH Keywords: perfect fluid
zbMATH Keywords: conformal Weyl tensor
zbMATH Keywords: Ricci tensor
zbMATH Keywords: radiated energy
zbMATH Keywords: quadrupole radiation
MaRDI profile type: Publication
cites work: Q5567753
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description: scientific article; zbMATH DE number 4011388