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On asymptotically flat space-times

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Abstract

The allowed asymptotic behavior of the Ricci tensor is determined for asymptotically flat space-times. With the aid of Penrose's conformai technique the asymptotic behavior of the components of the metric tensor, Weyl tensor, and spin coefficients in a suitable frame is calculated for such a space-time. For Einstein-Maxwell space-times these results reduce to those of Exton, Newman, Penrose, Unti, and Kozarzewski.

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Ludwig, G. On asymptotically flat space-times. Gen Relat Gravit 7, 293–311 (1976). https://doi.org/10.1007/BF00768530

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