Scenario of inflationary cosmology from the phenomenological $Λ$ models

Abstract

Choosing the three phenomenological models of the dynamical cosmological term $Λ$, viz., $Λ\sim (\dot a/a)^2$, $Λ\sim {\ddot a/a}$ and $Λ\sim ρ$ where $a$ is the cosmic scale factor, it has been shown by the method of numerical analysis that the three models are equivalent for the flat Universe $k=0$. The evolution plots for dynamical cosmological term $Λ$ vs. time $t$ and also the cosmic scale factor $a$ vs. $t$ are drawn here for $k=0, +1$. A qualitative analysis has been made from the plots which supports the idea of inflation and hence expanding Universe.

12 latex pages with 12 figures; Replaced with the revised version; Accepeted for `J. Non-lin. Frac. Phen. Sci. Engg.'