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arxiv: gr-qc/9305021 · v1 · submitted 1993-05-25 · 🌀 gr-qc

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Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of Scri

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classification 🌀 gr-qc
keywords bondiexpansionscrispace-timestensortermsadmitanalysed
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The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\log^i r$) constructed by a Bondi--Sachs type method is analysed. The occurrence of some log terms in an asymptotic expansion of the metric is related to the non--vanishing of the Weyl tensor at Scri. Various quantities of interest, including the Bondi mass loss formula, the peeling--off of the Riemann tensor and the Newman--Penrose constants of motion are re-examined in this context.

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