Interacting generalized ghost polytropic gas model of dark energy with a specific Hubble parameter in LRS Bianchi type-II universe

摘要

We study a spatially homogeneous and anisotropic universe where dark energy interacts with dark matter. To solve the Einstein's field equations, we consider a variation law of Hubble parameter which exhibits a transition of the universe from decelerating phase to the present accelerating phase. It is seen that the model of the universe approaches isotropy under suitable condition and the coincidence parameter is found to be an increasing function of time. We discuss the physical and geometrical properties of the universe which are found to be consistent with recent observation. Moreover, we examine a correspondence between the generalized ghost dark energy and polytropic gas model of dark energy. This correspondence allows us to reconstruct the potential and the dynamics for the scalar field of the polytropic gas which describes the accelerated expansion of the universe. We also investigate the statefinder parameters to characterize different phases of the evolution of the universe.