Kantowski-Sachs Minimally Interacting Holographic Dark Energy Model with Linearly Varying Deceleration Parameter in Scalar-tensor Theory of Gravitation

Abstract

In this paper we investigate spatially homogeneous and anisotropic Kantowski-Sachs space-time filled with two minimally interacting fields; matter and holographic dark energy components in the scalar-tensor theory of gravitation formulated by Saez and Ballester (Phys. Lett. A113:467, 986).To obtain exact solution of the field equations we have used (i)the fact that scalar expansion is proportional to shear scalar of the space-time and (ii)linearly varying deceleration parameter  proposed by Akarsu and Dereli (Int.J.Theor. Phy. 51:612, 2012). Some physical and kinematical properties of the model are, also, discussed.