  In this article, we discuss four dimensional non-static space-times in the
background of de-Sitter and anti-de Sitter spaces with the matter-energy
sources a stiff fluid, anisotropic fluid, and an electromagnetic field. Under
various parameter conditions the solutions may represent models of naked
singularity and/or black holes. Finally, the energy-momentum distributions
using the complexes of Landau-Lifshitz, Einstein, Papapetrou, and M{\o}ller
prescriptions, were evaluated.
