Cosmological Dynamics of Bianchi Type VI0 Universe in 
Higher Dimensions within Lyra Geometry

Rajni Gupta; Riddhi Jain

doi:https://doi.org/10.14445/22315373/IJMTT-V71I7P106

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 7 | Year 2025 | Article Id. IJMTT-V71I7P106 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I7P106

Cosmological Dynamics of Bianchi Type VI0 Universe in Higher Dimensions within Lyra Geometry

Rajni Gupta, Riddhi Jain

Received	Revised	Accepted	Published
23 May 2025	29 Jun 2025	15 Jul 2025	28 Jul 2025

Citation :

Rajni Gupta, Riddhi Jain, "Cosmological Dynamics of Bianchi Type VI0 Universe in Higher Dimensions within Lyra Geometry," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 7, pp. 49-58, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I7P106

Abstract

In this study, we analyze a higher-dimensional Bianchi Type VI0 cosmological model within the General Relativity and Lyra geometry frameworks. The field equations are solved analytically under the assumption that the shear scalar is proportional to the scalar Expansion. Specific choices of the constants α, β, γ lead to the construction of Bianchi Type I, III, and V models, each of which is examined in detail. The physical and geometrical properties of these cosmological solutions are discussed. A fractional cosmological model is also developed, and its consequences are discussed.

Keywords

Energy Momentum Tensor, Fractional Cosmological Model, Higher Dimensional Bianchi Type VI0, Last Step Modification, Lyra Geometry.

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