Abstract
From a detailed analysis of the virial equation, we study the equilibrium and stability of cosmological and astrophysical structures in presence of an expanding universe ruled by a vacuum energy density in the so called Newton-Hook spacetime. It is shown that the effects of a positive cosmological constant has a close relation with the geometry and the density of the configurations. The equilibrium state of systems far from spherical geometry are more affected by the presence of. We generalize the procedure by taking into account other models such as Dark Energy, Chaplygin gas and Quintessence.