A study on type I Bianchi model and statefinder diagnostic for ghost dark energy in a fractal cosmology

Abstract

In this work, we consider the type I Bianchi model in a fractal cosmology and investigate the ghost dark energy model from the statefinder viewpoint. The statefinder diagrams depict the properties of the ghost dark energy and show the discrimination between this scenario, ΛCDM and generalized ghost dark energy models. By using the statefinder parameters r and s, we find out that the studied model can attain the ΛCDM phase of the fractal universe. We also show the behavior of the ghost (generalized ghost) dark energy and quintessence (phantom). Lastly, we show the effect of the anisotropy on the evolution of the universe in the statefinder diagram.