Gravitational Waves in General Relativity XIV. Bondi Expansions and the `Polyhomogeneity' of I

Details Gravitational Waves in General Relativity XIV. Bondi Expansions and the `Polyhomogeneity' of I Gravitational Waves in General Relativity XIV. Bondi Expansions and the `Polyhomogeneity' of I

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995rspta.350..113c&link_type=abstract

Philosophical Transactions: Physical Sciences and Engineering, Volume 350, Issue 1692, pp. 113-141

Physics

45

Scientific paper

The structure of polyhomogeneous space-times (i.e. space-times with metrics which admit an expansion in terms of r-j logi 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 I. The validity in this more general context of various results from the standard treatment of I, including the Bondi mass loss formula, the peeling-off of the Riemann tensor and the Newman-Penrose constants of motion, is considered.

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