Some thoughts about black holes in asymptotic safety

Abstract

We discuss the current status of black holes within quantum gravity approaches based on quantum field theory, and particularly asymptotic safety. We highlight key open questions in the field, including the difficulty of deriving global solutions from the effective action, the role of matter in constraining the set of all possible alternatives to classical black holes, the importance of the formation probability, and its implications for both conceptual and practical aspects. These challenges highlight some necessary developments in the field and single out a few future directions, which could be promising to progress our understanding of black holes in quantum gravity.