• Satish T. Rathod
• Kalpana Pawar

In this paper, we have studied the Einstein Field equation in Kaluza-Klein space-time in five dimension with the metric mathbit{d}mathbit{S}^mathbf{2}=mathbit{d}mathbit{t}^mathbf{2}-mathbit{A}^mathbf{2}left(mathbit{d}mathbit{x}^mathbf{2}+mathbit{d}mathbit{y}^mathbf{2}+mathbit{d}mathbit{z}^mathbf{2} ight)-mathbit{B}^mathbf{2}mathbit{d}mathbf{psi}^mathbf{2} under the assumption that mathbit{B}=mathbit{alpha t}, where mathbf{alpha}=mathbit{Constant} and scale factor satisfying the relation mathbit{R}^mathbf{4}=mathbit{A}^mathbf{3}mathbit{B} with perfect fluid having energy momentum tensor mathbit{T}_{mathbit{ij}}=left(mathbf{ ho}+mathbit{p} ight)mathbit{v}_mathbit{i}mathbit{v}_mathbit{j}-mathbit{p}mathbit{g}_{mathbit{ij}}. In this paper, we have assumed that mathbit{G}=frac{mathbf{1}}{mathbit{t}} and we have found the value of cosmological constant mathbf{Lambda} is a function time mathbit{t} in terms of Hyper geometric function.

Kaluza-Klein space-time in five-dimension, perfect fluid, Hypergeometric Function, variable cosmological constant mathbf{Lambda}=mathbf{Lambda}left(mathbit{t}ight) and gravitational constant mathbit{G}=mathbit{G}left(mathbit{t}ight)

"Cosmological constant as Hyper Geometric function in five-dimensional space-time", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 2, page no.b279-b281, February-2023, Available :http://www.jetir.org/papers/JETIR2302141.pdf

"Cosmological constant as Hyper Geometric function in five-dimensional space-time", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 2, page no. ppb279-b281, February-2023, Available at : http://www.jetir.org/papers/JETIR2302141.pdf