Cosmological constant as Hyper Geometric function in fivedimensional space-time

Abstract

In this paper, we have studied the Einstein Field equation in Kaluza-Klein space-time in five dimension with the metric dS^2 = dt^2 − A^2(dx^2 + dy^2 + dz^2)− B^2dψ^2 under the assumption that B = αt, where α = Constant and scale factor satisfying the relation R^4 = A^3B with perfect fluid having energy momentum tensor Tij = (ρ + p)vivj − pgij In this paper, we have assumed that G = 1/t and we have found the value of cosmological constant Λ is a function time t in terms of hyper geometric function.

Keywords

• kaluza-klein space-time in five-dimension
• perfect fluid
• hypergeometric function
• variable cosmological constant λ = λ(t) and gravitational constant g = g(t)