On algebraically special space–times with nontwisting rays

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Abstract
With the aid of the Newman–Penrose formalism and Penrose’s conformal technique Einstein’s gravitational field equations are first solved exactly as far as is possible for arbitrary sources. It is assumed, however, that space–time is algebraically special with hypersurface-orthogonal geodesic and shear-free rays. Special cases are considered. Next, the asymptotic behavior of the components of the metric tensor, the Weyl tensor, the Ricci tensor and the spin coefficients is determined in a suitable frame. Einstein–Maxwell space–times with the above properties are treated in some detail.

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