Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Higher Dimensional Bianchi Type-III String Cosmological Models in Lyra Geometry

Version 1 : Received: 22 September 2021 / Approved: 24 September 2021 / Online: 24 September 2021 (09:17:54 CEST)

How to cite: Singh, K.P.; Baro, J.; Meitei, A.J.; Devi, S.R. Higher Dimensional Bianchi Type-III String Cosmological Models in Lyra Geometry. Preprints 2021, 2021090423 (doi: 10.20944/preprints202109.0423.v1). Singh, K.P.; Baro, J.; Meitei, A.J.; Devi, S.R. Higher Dimensional Bianchi Type-III String Cosmological Models in Lyra Geometry. Preprints 2021, 2021090423 (doi: 10.20944/preprints202109.0423.v1).

Abstract

Here we studied Bianchi type-III string cosmological models generated by means of a cloud of strings with particles connected to them in the framework of Lyra geometry considering five-dimensional space-time. To obtain the exact solutions of field equations we consider that the shear scalar and the scalar expansion are proportional, σ∞θ which leads to D=cn and secondly we adopt the assumption considering the Reddy String Condition, ρ+λ=0. From the two different cases obtained here, first case leads to the Bianchi type-III string cosmological model in Lyra geometry in five-dimensional space-time and the second case leads to the five-dimensional vacuum universe in general relativity. The Geometrical and physical properties of the model universe are studied comparing with the present day’s observational findings. The model universe obtained here starts with the big bang and as time progresses both particle density ρp and energy density ρ decreases with expansion of our Universe.

Keywords

Five dimension; Cloud String; Bianchi Type-III Space-Time; Lyra Geometry; Expansion Scalar and Big-bang

Subject

MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics

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