Plane-symmetric analogue of NUT space

In this paper on the basis of a new definition of spacetime symmetry, which is in accordance with the symmetry of the curvature invariants, we investigate exact vacuum solutions of Einstein field equations corresponding to both static and stationary plane-symmetric spacetimes using the concepts of the (1 + 3)-decomposition or threading formalism. Demanding the presence of a plane-symmetric gravitomagnetic field we find a family of two-parameter (m and l) solutions, every member of which is a plane-symmetric analogue of NUT space.