L.R.S. Bianchi type II Stiff Fluid cosmological model with Decaying Vacuum Energy Density $\Lambda$ in general relativity

Abstract

Locally rotationally symmetric (L.R.S.) Bianchi type II stiff fluid cosmological model is investigated. To get the deterministic model of the universe, we have assumed a condition $A=B^m$ between metric potentials $A,B$ where $n$ is the constant. It is shown that the vacuum energy density $\Lambda$ is positive and proportional to $\frac{1}{t^2}$. The values of deceleration parameter $q$, matter-energy density ${\Omega }_m$ and dark-energy density ${\Omega }_{\Lambda }$ are found to be in good agreement with the values obtain from 5-years WMAP observations. the predicted value of the jerk parameter agrees with the SNLS SNIa and X-ray galaxy cluster distance data but does not with the SNIa gold sample data. In general, the model represent accelerating, shearing and non-rotating universe.The physical and geometrical behavior of these models are also discussed.

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• Modeling of accelerating Universe with bulk viscous fluid in Bianchi V space-time
• Accelerating model of flat universe in $f(R,T)$ gravity
• An exact solution of the observable universe in Bianchi V space-time