Cosmographic analysis of anisotropic Kaniadakis holographic dark energy model
Abstract
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 ωkhde close to −1 (ΛCDM model) at late-times and is in agreement with the most recent observations. Next, we obtained the squared sound speed (v2s) and found that it is positive, implying stability against perturbations. The ωkhde−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, ΛCDM limit, and is inclined towards the steady-state model.
