Asymptotic behavior of gravitational fields in a type II coordinate system

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Abstract
With the aid of Penrose’s conformal technique the asymptotic behavior of the components of the metric tensor, the Weyl tensor, the Ricci tensor and the spin‐coefficients is calculated for a large class of space‐times that includes the NUT (Newman–Unti–Tamburino) solution as well as all asymptotically flat space‐times. The calculations are done in a coordinate system associated not with null hypersurfaces but with an asymptotically shearfree twisting null congruence. For vacuum the results presented here reduce to those of Aronson and Newman to the order given in their paper.

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