Although it is not a fundamental question, determining exact and general solutions for a given theory has advantages over a numerical integration in many specific cases. Of course, respecting the peculiarities of the problem. Revisiting the integration of the General Relativity Theory field equations for the Kantowski–Sachs spacetime describes a homogeneous but anisotropic universe whose spatial section has the topology of [Formula: see text], we integrate the equations for arbitrary curvature parameter and write the solutions considering the process of gravitational collapse. We took the opportunity and made some comments involving some features of the model such as energy density, shear, viscosity and the production of gravitational waves via Petrov classification.

中文翻译：

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康托夫斯基-萨克斯引力坍缩的最终命运

虽然这不是一个基本问题，但在许多特定情况下，确定给定理论的精确和通用解比数值积分具有优势。当然，尊重问题的特殊性。重新审视 Kantowski-Sachs 时空的广义相对论场方程的积分描述了一个均匀但各向异性的宇宙，其空间截面具有 [公式：见文本] 的拓扑，我们将任意曲率参数的方程积分并写出考虑引力坍缩的过程。我们借此机会发表了一些评论，涉及模型的一些特征，如能量密度、剪切、粘度和通过彼得罗夫分类产生的引力波。