Cosmic Implications of Tsallis Holographic Dark Energy with Various IR Cutoffs in Horava- Lifshitz Gravity

Abstract

Horava-Lifshitz gravity is a very fascinating proposal of modified gravity for explaining the current acceleration and other cosmic issues. In contin- uation of this discussion, we study the consequences of Tsallis dark energy with Hubble and particle horizons in the framework of deformed Horava- Lifshitz gravity by taking into account flat FRW universe. The interaction between Tsallis holographic dark energy and dark matter are also taken into account to discuss the underlying scenario. It is found that fractional dark energy density (ΩD) approaches to 0.70+0.03 −0.03 as redshift goes to zero (present epoch) for both cases of horizons. The cosmic parameter (ωD) shows phantom crossing behavior in both models, i.e., it evolutes the uni- verse from quintessence phase to phantom phase by crossing the vacuum horizon. In both cases of horizons, the deceleration support the cosmic ac- celeration by exhibiting the negative values. The perturbation sound speed also favors the viability of our models through positive behavior. The co- incidence parameter support the exchange of dark matter to dark energy phenomenon through positivity. We also discuss the behavior of growth rate and growth index in the growth of matter density perturbations for both horizons. These parameters mimic the ΛCDM behavior of the universe.