Barrow holographic dark energy: reconstruction within Saez-Ballester theory in Kantowski-Sachs universe

Abstract

Within the framework of the Saez-Ballester theory, the Barrow Holographic Dark Energy (BHDE) has been reconstructed. This reconstruction was carried out in a homogeneous and anisotropic KS universe that was filled with BHDE. The study examined both non-interacting and interacting scenarios, with the future event horizon serving as the IR cut-off. The analysis focused on the evolution of the Equation of State parameter for both cases, as well as the trajectories of $w_{DE}-w'_{DE}$. Additionally, the study investigated the inflation of the universe filled with BHDE by plotting the slow-roll parameters. Furthermore, a connection between the canonical scalar field and BHDE was explored, as the presence of a scalar field is often associated with inflation. Finally, the tensor-to-scalar ratio $r$ is plotted which seems to lie within the acceptable range.