ACCELERATING THE COSMOLOGICAL MODEL WITH POLYTROPIC EQUATION OF STATE PARAMETERIN LYRA’S GEOMETRY

Abstract

This study explores the Bianchi type-V cosmological model within the framework of general relativity, featuring a perfect fluid governed by the polytropic equation of state in Lyra’s Geometry , expressed as p=αÏ+kÏ^n, as proposed by [1]. In this equation, k and n are constants representing the polytropic constant and polytropic index, respectively. The model exhibits a phase of early accelerated expansion in the present study, and we investigate the primordial cosmological dynamics for three specific values of α: α = 1/3, α = 0, and α = 1and vacuum energy matter for the value of α = -1. The slow-roll effect of inflation has been studied. The role of Lyra’s geometry has been discussed. The solutions to Einstein's field equations have been derived, providing insights into the physical and cosmological attributes of this particular model.