Cosmic Acceleration in Modified Horava- Lifshitz Gravity

Abstract

We discuss the cosmological implications of the interacting Barrow holo- graphic dark energy model in the context of flat deformed Hoˇrava-Lifshitz gravity by assuming the interaction (Γ) between dark energy and pressure- less dark matter. To understand the mechanism of recent accelerated ex- pansion of the universe, we consider Hubble and event horizons as infrared cutoff. We investigate the evolutionary history of cosmological parame- ters especially the equation of state, Hubble, deceleration, squared speed of sound and find results that favor observational data of Planck 2018. It is found that the Hubble parameter lies in the range 72+2 −2 (for event horizon) and 74.004+0.004 −0.004 (for Hubble horizon). The equation of state parameter pro- vides the phantom phase of the universe, while the deceleration parameter illustrates the accelerated phase of the universe. On the other hand, we plot the squared speed of sound and find the positive behavior which ensures the stability of underlying model. Moreover, we examine the generalized second law of thermodynamics of this cosmological system with barrow entropy as horizon entropy and observe that this law holds for both horizons.