LRS Bianchi Type-II Cosmological Model with a Decaying Lambda Term

We consider a locally rotationally symmetric (LRS) Bianchi type-II spacetime with a perfect fluid and a variable cosmological constant Λ. To solve the Einstein field equations we consider the cosmological term Λ to be proportional to R^−m with R being the scale factor and m a constant Phys. Rev. D 58 (1998) 043506. In this model we obtain Λ∼H², Λ∼R"/R and Lambda ∼t⁻², in agreement with the main dynamical laws for the decay of Λ. The physical significance of the cosmological model is also discussed.