Time variable $Λ$ and the accelerating Universe

Details Time variable $Λ$ and the accelerating Universe Time variable $Λ$ and the accelerating Universe

2008-11-05

arxiv.org/abs/0811.0782v3

Int.J.Theor.Phys.50:752-759,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 10 pages, 2 figures, accepted in IJTP

Scientific paper

10.1007/s10773-010-0611-z

We perform a deductive study of accelerating Universe and focus on the importance of variable time-dependent $\Lambda$ in the Einstein's field equations under the phenomenological assumption, $\Lambda =\alpha H^2$ for the full physical range of $\alpha$. The relevance of variable $\Lambda$ with regard to various key issues like dark matter, dark energy, geometry of the field, age of the Universe, deceleration parameter and barotropic equation of state has been trivially addressed. The deceleration parameter and the barotropic equation of state parameter obey a straight line relationship for a flat Universe described by Friedmann and Raychaudhuri equations. Both the parameters are found identical for $\alpha = 1$.

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