Non-flat Universes and Black Holes in Asymptotically Free Mimetic Gravity. (arXiv:1912.03162v1 [hep-th])
<a href="http://arxiv.org/find/hep-th/1/au:+Chamseddine_A/0/1/0/all/0/1">Ali H. Chamseddine</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Mukhanov_V/0/1/0/all/0/1">Viatcheslav Mukhanov</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Russ_T/0/1/0/all/0/1">Tobias B. Russ</a>

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.

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.

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