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

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

1993-05-25

arxiv.org/abs/gr-qc/9305021v1

Proc.Roy.Soc.Lond. A436 (1992) 299-316

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 28pp, CMA-MR14-92

Scientific paper

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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