Comparing the holographic principle inspired dark energy models

Abstract

In this article, we have analyzed holographic principle inspired dark energy models, namely, holographic dark energy (HDE) model, Tsallis holographic dark energy (THDE) model and the Re´nyi holographic dark energy (RHDE) model by using the statefinder parameter diagnostic. We have compared these dark energy models with each other, by plotting the evolutionary trajectories of the first statefinder r(z), second statefinder parameter s(z), the statefinder parameter pairs (r,s) and (r,q) as well as the deceleration parameter q(z) for the various parameter values of the respective dark energy models. It is observed from q(z),r(z) and s(z) plots that THDE model and RHDE model are not discriminated from the Lambda cold dark matter (ΛCDM) model at the low redshift region, while HDE model is well-differentiated from the ΛCDM model at the low redshift region. Clear discrimination among these three dark energy models as well as from the ΛCDM model can be seen in the (r,s) and (r,q) planes. In addition, we compare the stability of the models through squared sound speed.