Bianchi type-I and -III modified holographic Ricci Dark energy models in Saez-Ballester theory

Abstract

In this work, we study the spatially homogeneous and anisotropic Bianchi type-III (B-III) and locally rotationally symmetric (LRS) Binachi type-I (B-I) models filled with matter and dark energy in the framework of the Saez-Ballester (1986) scalar-tensor theory of gravitation. Here, we consider the modified holographic Ricci dark energy as the viable candidate to dark energy. To obtain a deterministic solution we consider the time-varying deceleration parameter, which leads to the average scale factor \(a(t)=[\sinh(\alpha t)]^{\frac{1}{k}}\). This average scale factor describes a model which generates a smooth transition of the universe from the early decelerating phase to the recent accelerating phase. The physical and kinematical aspects of the models are discussed through figures and also found to be in good agreement with recent astrophysical observations under suitable conditions.