Modified holographic Ricci dark energy model and statefinder diagnosis in flat universe

Abstract

Evolution of the universe with modified holographic Ricci dark energy model is considered. Dependency of the equation of state parameter and deceleration parameter on the redshift and model parameters are obtained. It is shown that the density evolution of both non-relativistic matter and dark energy are the same until recent times. The evolutionary trajectories of the model for different model parameters are obtained in the statefinder planes, r-s and r-q planes. The present statefinder parameters are obtained for different model parameter values, using that the model is differentiated from other standard models like $\Lambda$CDM model etc. We have also shown that the evolutionary trajectories are depending on the model parameters, and at past times the dark energy is behaving like cold dark matter, with equation of state equal to zero.