The dynamics of the vacuum Kantowski-Sachs space-time are studied in the so-called limiting curvature mimetic gravity theory. It is shown that in this theory the vacuum Kantowski-Sachs space-time is always singular. While the departures from general relativity due to the limiting curvature mimetic theory do provide an upper bound on the magnitude of the expansion scalar, both its rate of oscillations and the magnitude of the directional Hubble rates increase without bound and cause curvature invariants to diverge. Also, since the radial scale factor does not vanish in finite (past) time, in this particular theory the Kantowski-Sachs space-time cannot be matched to a null black hole event horizon and, therefore, does not correspond to the interior of a static and spherically symmetric black hole.

中文翻译：

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模拟康托夫斯基-萨克斯宇宙学中的奇点

在所谓的极限曲率模拟重力理论中研究了真空 Kantowski-Sachs 时空的动力学。该理论表明，真空Kantowski-Sachs 时空总是奇异的。虽然由于极限曲率模拟理论而偏离广义相对论确实提供了膨胀标量大小的上限，但其振荡率和定向哈勃速率的大小都无限制地增加并导致曲率不变量发散。此外，由于径向比例因子不会在有限（过去）时间内消失，在这个特定理论中，康托夫斯基-萨克斯时空无法与空黑洞事件视界匹配，因此，不对应于一个黑洞的内部静态和球对称黑洞。