2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98569We 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a space-time filled with null dust or a stiff fluid.17 pages, 1 figure, latex; Combined with gr-qc/0501107 which i have withdrawn, a stiff fluid solution and references are addedGeneral Relativity and Quantum CosmologyKasner generalization of Levi-Civita spacetimetext