In this paper, Kantowski–Sach’s cosmological model is investigated in presence of Saez–Ballester scalar tensor theory of gravitation and an anisotropic dark matter distribution the energy momentum tensor. Exact solutions of field equations are obtained by the law of Hubble parameter. An anisotropic stellar object’s stability is discussed with the help of sound speed, Aberu’s stability condition, and causality condition. In addition to this, we studied the physical aspects of the derived cosmological model, such as transverse and radial pressure, energy density, and anisotropy factor etc.

中文翻译：

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Saez-Ballester 引力理论中的各向异性暗物质分布

在本文中，在存在引力的 Saez-Ballester 标量张量理论和能量动量张量的各向异性暗物质分布的情况下研究了 Kantowski-Sach 的宇宙学模型。由哈勃参数定律得到场方程的精确解。借助声速、Aberu 稳定性条件和因果条件讨论各向异性星体的稳定性。除此之外，我们还研究了所导出的宇宙学模型的物理方面，例如横向和径向压力、能量密度和各向异性因子等。