Evolution of Scale Factor with Cosmic Time while a Homogeneous Universe is Considered

Abstract

We treat our universe as a homogeneous and isotropic system which is filled up by exotic matter popularly named as dark energy. Different dark energy models have been considered. The equation of continuity and the time - scale factor relations for different EoS-s of different dark energy models have been studied. Time vs scale factor relations are plotted for different dark energy models. We know that different dark energy models  show different properties while occurrences of future singularities are considered. Those properties can be supported by the graphical analysis of their cosmic time-scale factor studies.