Generalized Model for $\Lambda$-Dark Energy

Einstein 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 $\Lambda$ model, viz., $\Lambda \sim (\dot a/a)^2$ without assuming any {\it a priori} value for the curvature constant and the equation of state parameter $\omega$. Some interesting results, such as the nature of cosmic density $\Omega$ and deceleration parameter $q$, have been obtained with the consideration of two-fluid structure instead of usual uni-fluid cosmological model.