{"id":3009,"date":"2026-04-09T22:56:07","date_gmt":"2026-04-09T14:56:07","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&p=3009"},"modified":"2026-06-08T20:47:47","modified_gmt":"2026-06-08T12:47:47","slug":"cosmological-constant-as-hyper-geometric-function-in-fivedimensional-space-time","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=cosmological-constant-as-hyper-geometric-function-in-fivedimensional-space-time","title":{"rendered":"Cosmological constant as Hyper Geometric function in fivedimensional space-time"},"content":{"rendered":"\n
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<\/i> 2024<\/a><\/p>\n<\/div>\n\n\n\n

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<\/i> Volume 27, Issue 1<\/a><\/p>\n<\/div>\n\n\n\n

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Satish T. Rathod and Kalpana Pawar<\/i><\/a><\/p>\n\n\n\n

Department of Mathematics, Shri R. R. Lahoti Science College, Morshi-444905, Dist. Amravati, M. S., India<\/p>\n<\/div>\n\n\n\n

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Received:\u00a0January 11, 2023
Accepted:\u00a0March 1, 2023
Publication Date:\u00a0April 9, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

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No figure<\/p>\n<\/div>\n<\/div>\n\n\n\n

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

Download Citation:\u00a0 BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.202401_27(1).0012<\/a>\u00a0\u00a0<\/p>\n\n\n\n

Download PDF<\/a><\/p>\n\n\n\n

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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<\/sup> = dt2<\/sup> \u2212 A2<\/sup> (dx2<\/sup> + dy2<\/sup> + dz2<\/sup>) \u2212 B2<\/sup>d\u03c82<\/sup> under the assumption that B = \u03b1t, where \u03b1 = Constant and scale factor satisfying the relation R4<\/sup> = A3<\/sup>B with perfect fluid having energy momentum tensor Tij<\/sub> = (\u03c1 + p)vi<\/sub>vj<\/sub> \u2212 pgij<\/sub>
In this paper, we have assumed that G = 1\/t and we have found the value of cosmological constant \u039b is a function time t in terms of hyper geometric function.<\/p>\n\n\n\n

Keywords:\u00a0Kaluza-Klein space-time in five-dimension, perfect fluid, Hypergeometric Function, variable cosmological constant \u039b = \u039b(t) and gravitational constant G = G(t)<\/em><\/p>\n\n\n\n

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  1. [1] T. Kaluza, (1921) \u201cSitzungsber” Abhandlungen der K\u00f6niglich Preussischen Akademie der Wissenschaften 996: 1921.<\/li>\n
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