Cosmographic analysis of anisotropic Kaniadakis holographic dark energy model.

In this paper, we investigate the anisotropic and spatially homogeneous Bianchi type-I universe with Kaniadakis holographic dark energy in Saez–Ballester [Phys. Lett. A 113, 467 (1986)] theory of gravitation. We determine Kaniadakis holographic dark energy model by assuming a correlation between the metric potentials to solve the field equations of the model. This results in a dynamical deceleration parameter which demonstrates an accelerating expansion of the universe. Our model's equation of state parameter ω khde close to − 1 (Λ CDM model) at late-times and is in agreement with the most recent observations. Next, we obtained the squared sound speed ( v s 2 ) and found that it is positive, implying stability against perturbations. The ω khde − ω khde ′ plane is constructed to investigate the evolution of the models' EoS parameter turned out to be in a freezing zone. As should be the case in an expanding universe, the strong energy conditions of the model are violated. Statefinders (r , s) , and r − q planes were also examined. Our model includes the Chaplygin gas, Λ CDM limit, and is inclined towards the steady-state model. [ABSTRACT FROM AUTHOR]