Cosmological Dynamics of Anisotropic Kaniadakis Holographic Dark Energy Model in Brans-Dicke Gravity

The present study examines the Kaniadakis holographic dark energy in the context of the Brans-Dicke scalar-tensor theory of gravity (Phys. Rev. 124: 925, 1961). This paper focuses on a background with an anisotropic Kantowski-Sachs space-time that is homogeneous in space. Under these circumstances, the Brans-Dicke scalar field denoted as ϕ is used as a function of the average scale factor a(t). Using a graphical model to analyze the model's physical behaviour is part of the inquiry into the Universe's accelerating expansion. We evaluate the cosmological parameters such as the scalar field, the equation of state parameter and the deceleration parameter. Furthermore, the models' stability is assessed through the application of the squared sound speed (ν2S). For our models, we derive the widely accepted cosmic planes such as ωkde-ω'kde and statefinder (r,s) planes. It is found that the scalar field is a decreasing function of cosmic time and hence the corresponding kinetic energy increases. The deceleration parameter exhibits accelerated expansion of the universe. It is mentioned here that the equation of state parameter lies in the phantom region and finally attains the ΛCDM model. Also, the ωkde-ω'kde plane provides freezing and thawing regions. In addition, the statefinder plane also corresponds to the ΛCDM model. Finally, it is remarked that all the above constraints of the cosmological parameters show consistency with Planck observational data.