Kaluza-Klein Cosmological Models with Polytropic Equation of State in Lyra Geometry

Abstract

The present research study attempt at to explore exact solution of the field equations by considering more general form of the law of variation of the Hubble parameter (H = lb(V), (where b(V) is the function of the volume) proposed by Berman. It employs Kaluza- Klein cosmological models with polytropic equation of state in relation to the Lyra geometry. So, following the line that the universe is accelerating and expanding at the present, it makes allowance for two physically viable ansatz are investigated. It is observed that the universe is oscillatory and decelerating in the one case whereas the universe is accelerating and expanding in the second case of investigated models.