This paper deals with the study of Kantowski–Sachs universe in the presence of an anisotropic dark energy within the framework of Lyra geometry. A special form of time-varying deceleration parameter and present non-singular cosmological model were used to obtain exact solutions of Einstein's field equations. The physical and geometric features of the cosmological model were discussed. Under suitable condition, it was observed that the anisotropy parameter of the universe and the skewness parameter of the dark energy approach to zero for large cosmic time. The results were found to be consistent with the recent observations on the present-day universe.

中文翻译：

---

天琴几何中具有各向异性暗能量的Kantowski-Sachs宇宙学模型

本文研究了在天琴座几何框架内存在各向异性的暗能量的情况下对Kantowski-Sachs宇宙的研究。使用特殊形式的时变减速参数和当前的非奇异宇宙模型来获得爱因斯坦场方程的精确解。讨论了宇宙学模型的物理和几何特征。在适当的条件下，观察到宇宙的各向异性参数和暗能量的偏度参数在大宇宙时间内都接近零。结果与最近对当今宇宙的观测结果一致。