Cosmological constant as Hyper Geometric function in fivedimensional space-time

Satish T. Rathod; Kalpana Pawar

doi:10.6180/jase.202401_27(1).0012

Cosmological constant as Hyper Geometric function in fivedimensional space-time

Satish T. Rathod and Kalpana PawarThis email address is being protected from spambots. You need JavaScript enabled to view it.

Department of Mathematics, Shri R. R. Lahoti Science College, Morshi-444905, Dist. Amravati, M. S., India

Received: January 11, 2023
Accepted: March 1, 2023
Publication Date: June 12, 2023

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

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In this paper, we have studied the Einstein Field equation in Kaluza-Klein space-time in five dimension with the metric dS² = dt² − A² (dx² + dy² + dz²)− B²dψ² under the assumption that B = αt, where α = Constant and scale factor satisfying the relation R⁴ = A³B with perfect fluid having energy momentum tensor T_ij = (ρ + p)v_iv_j − pg_ij
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

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