Levi-Civita solutions with a cosmological constant - art. no. 044003

The main properties of the Levi-Civita solutions with a cosmological consta nt are studied. In particular, it is found that some of the solutions need to be extended beyond certain hypersurfaces in order to have geodesically c omplete spacetimes. Some extensions are considered and found to give rise t o a black hole structure but with plane symmetry. All the spacetimes that a re not geodesically complete are Petrov type D, while in general the spacet imes are Petrov type I.