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

Abstract

Here, we studied Bianchi type-III string cosmological models generated using a cloud of strings with particles connected to them in the framework of Lyra geometry considering five-dimensional spacetime. We assume that the shear scalar and scalar expansion are proportional to obtain the exact solutions of the survival field equations here. Secondly, we adopt the assumption considering the Reddy string condition. From the different cases obtained here, the first case gives the Bianchi type-III string cosmology in Lyra geometry in five-dimensional spacetime, and the second case gives the five-dimensional vacuum model in general relativity. The various parameters of the model universe, which are very important for the description of the Universe, are obtained, and their properties are studied and compared with the recent observational findings. The model universe obtained here starts with the Big Bang, and as time progresses, both particle density and energy density decrease with the expansion of our Universe.