The recently proposed theory of “Asymptotically Free Mimetic Gravity” is extended to the general non‐homogeneous, spatially non‐flat case. We present a modified theory of gravity which is free of higher derivatives of the metric. In this theory asymptotic freedom of gravity implies the existence of a minimal black hole with vanishing Hawking temperature. Introducing a spatial curvature dependent potential, we moreover obtain non‐singular, bouncing modifications of spatially non‐flat Friedmann and Bianchi universes.

中文翻译：

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渐近自由拟态引力中的非平坦宇宙和黑洞

最近提出的“渐近自由拟态引力”理论已扩展到一般的非均匀，空间非平坦情况。我们提出了一种改良的引力理论，该理论不含度量的更高导数。在该理论中，重力的渐近自由意味着存在最小的黑洞，霍金温度逐渐消失。通过引入与空间曲率有关的电势，我们还获得了对空间非平坦的Friedmann和Bianchi宇宙的非奇异的，弹跳的修改。