Abstract
We present all Petrov type D pure radiation space-times, with or without cosmological constant, with a shear-free, nondiverging geodesic principal null congruence. We thus completely solve the problem of aligned Petrov type D pure radiation fields: either these are Robinson–Trautman space-times and are all explicitly known or they belong to the Kundt family, for which so far only isolated examples existed in the literature.
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