Five Dimensional Cosmological Models in General Relativity

A Five dimensional Kaluza-Klein space-time is considered in the presence of a perfect fluid source with variable G and $Λ$. An expanding universe is found by using a relation between the metric potential and an equation of state. The gravitational constant is found to decrease with time as $G \sim t^{-(1-ω)}$ whereas the variation for the cosmological constant follows as $Λ\sim t^{-2}$, $Λ\sim (\dot R/R)^2$ and $Λ\sim \ddot R/R$ where $ω$ is the equation of state parameter and $R$ is the scale factor.

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