Cosmological constant as Hyper Geometric function in fivedimensional space-time

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 en...

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Veröffentlicht in:Journal of Applied Science and Engineering 2024, Vol.27 (1), p.1953-1955
Hauptverfasser: Satish T. Rathod, Kalpana Pawar
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2708-9967
2708-9975
DOI:10.6180/jase.202401_27(1).0012