2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229834Einstein field equations under spherically symmetric space-times are considered here in connection to dark energy investigation. A set of solutions are obtained for a kinematical $Λ$ model, viz., $Λ\sim (\dot a/a)^2$ without assuming any {\it a priori} value for the curvature constant and the equation of state parameter $ω$. Some interesting results, such as the nature of cosmic density $Ω$ and deceleration parameter $q$, have been obtained with the consideration of two-fluid structure instead of usual uni-fluid cosmological model.8 Latex pagesGeneral Relativity and Quantum Cosmologytext