Non-flat Universes and Black Holes in Asymptotically Free Mimetic Gravity
Ali H. Chamseddine, Viatcheslav Mukhanov, Tobias B. Russ

TL;DR
This paper extends asymptotically free mimetic gravity to non-flat, non-homogeneous universes, revealing minimal black holes and non-singular bouncing cosmologies without higher derivatives.
Contribution
It introduces a modified gravity theory applicable to non-flat, non-homogeneous spacetimes, demonstrating minimal black holes and bouncing universe solutions.
Findings
Existence of minimal black holes with zero Hawking temperature.
Non-singular, bouncing modifications of non-flat Friedmann and Bianchi universes.
Theory free of higher derivatives of the metric.
Abstract
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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