Abstract
The integration of the spin coefficient equations of spatially symmetric vacuum is carried out for non-geodesic eigencongruences and vanishing shear parameter. Two different solutions, a special Einstein-Rosen metric and a solution belonging to the spatially symmetric analogons of the Papapetrou-type metrics are obtained. The corresponding electrovac class of common eigenrays contains only Ernst counterparts of the vacuum metrics.
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Lukács, B. Solutions of the Su(1, 1) spin coefficient equations with non-geodesic eigenrays. Acta Physica Hungarica 54, 155–159 (1983). https://doi.org/10.1007/BF03158702
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DOI: https://doi.org/10.1007/BF03158702