Scenario of inflationary cosmology from the phenomenological $Λ$ models

Details Scenario of inflationary cosmology from the phenomenological $Λ$ models Scenario of inflationary cosmology from the phenomenological $Λ$ models

2007-08-28

arxiv.org/abs/0708.3768v2

Int.J.Theor.Phys.48:2499-2510,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1007/s10773-009-0036-8

Choosing the three phenomenological models of the dynamical cosmological term $\Lambda$, viz., $\Lambda \sim (\dot a/a)^2$, $\Lambda \sim {\ddot a/a}$ and $\Lambda \sim \rho$ 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 $\Lambda$ 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.

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