Non-Flat Universes and Black Holes in Asymptotically Free Mimetic Gravity

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. © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim