Solutions of the Su(1,1) spin coefficient equations with non-geodesic eigenrays

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. (author)