Two Fluid Interacting and Non-Interacting Scenarios for Kaluza-Klein Dark Energy Cosmological Model in Lyra Geometry

Abstract

In this paper, we studied the evaluation of dark energy parameter in the spatial homogeneous and anisotropic five dimensional Kaluza-Klein space time filled with barotropic fluid and dark energy within the frame- work of Lyra geometry. To solve the Einstein field equation by considering the shear scalar (σ) in these models is proportional to expansion scalar (θ). Here we consider two cases; (a) when these fluids are not interacting with each other and, (b) when these fluids interact with each other. We examined the physical and geometric properties and analysed their graphical characteristics. In addition, we investigated several cosmological parameters, look-back time, proper distance, luminosity distance, angular diameter distance and distance modulus.