ACTA PHYSICA POLONICA B, cilt.37, sa.9, ss.2445-2461, 2006 (SCI-Expanded)
We investigate some cylindrically symmetric nonstationary and nonstatic solutions of Einstein field equations. We first study some physical properties of a solution which can be considered as Kasner generalization of static Levi-Civita vacuum solution. Then we generalize this metric to include a solution where a space-time is filled with null dust or a stiff fluid.