The main motive of this investigation is to study the behavior of cosmological model in the presence of matter and a modified holographic Ricci dark energy for homogeneous hypersurface in the scalar tensor theory of gravitation, proposed by Saez–Ballester (Phys. Lett. A, 113, 467 (1986)). The hybrid expansion law (Akarsu et al., JCAP, 01, 022 (2014)) has been used to get a determinate solution. The physical condition that is shear scalar proportional to the expansion scalar is used to obtain the solution of the field equations. The various physical and geometrical aspects of the model are also discussed.

中文翻译：

---

基于 Saez-Ballester 万有引力理论中的混合膨胀定律的超表面均匀修正全息 Ricci 暗能量宇宙学模型

这项研究的主要动机是研究宇宙学模型在存在物质和修正的全息 Ricci 暗能量的情况下在引力标量张量理论中均匀超表面的行为，由 Saez-Ballester 提出（Phys. Lett. A, 113 , 467 (1986))。混合膨胀定律（Akarsu et al., JCAP, 01, 022 (2014)）已被用于获得确定的解。使用剪切标量与膨胀标量成正比的物理条件来获得场方程的解。还讨论了模型的各种物理和几何方面。