The nondiverging and nontwisting type D electrovac solutions with λ

Assuming the type D of the metric and the alignment of the EM field along the double D–P directions all solutions of Einstein–Maxwell equations free of complex expansion in the presence of cosmological constant are studied. All solutions of this type are found equivalent to Carter’s branch [$\mathrm{B̄}$ (−)] in a previous paper and are derivable from the general 7‐parametric D’s by contractions. Various special cases are examined, and at least a 4‐parameter group of symmetries of these solutions is exhibited and studied.