Theoretical analysis on the Renyi holographic dark energy in the Finsler-Randers cosmology

In this work, we study the cosmological consequences of Renyi holographic dark energy model in the framework of the Finsler-Randers cosmology in which the Hubble horizon is considered as the IR cutoff. In this setup, we derive the evolution equation for the Renyi holographic dark energy density parameter, the equation of state (EoS) parameter and deceleration parameter. Our study shows that this model can describe the current accelerating universe in both noninteracting and interacting scenarios, and also a transition occurs from the deceleration phase to the accelerated phase at the late-time. Moreover, we discuss the statefinder diagnosis of this model, meanwhile, plot the curves of r and s versus redshift z and the evolutionary trajectories of {r, s}. We find that statefinder can not only break the degeneracy of different coupling parameter values in this model, but also effectively distinguish the difference between the Renyi holographic dark energy model and the ACDM model. In addition, we find that the statefinder pair {r, s} performs better than {r, z} and {s, z} in this model.