Terminating black holes in asymptotically free quantum gravity

Abstract

We study the homogeneous gravitational collapse of a spherical cloud of matter in a super-renormalizable and asymptotically free theory of gravity. We nd a picture that di ers substantially from the classical scenario. The central singularity appearing in classical general relativity is re-placed by a bounce, after which the cloud re-expands inde nitely. We argue that a black hole, strictly speaking, never forms. The collapse only generates a temporary trapped surface, which can be interpreted as a black hole when the observational timescale is much shorter than the one of the collapse. However, it may also be possible that the gravitational collapse produces a black hole and that after the bounce the original cloud of matter evolves into a new universe.