Renormalization group analysis of superradiant growth of self-interacting axion cloud

Abstract There are strong interests in considering ultra-light scalar fields (especially axion) around a rapidly rotating black hole because of the possibility observing gravitational waves from axion condensate (axion cloud) holes. Motivated by this consideration, we propose new method to study dynamics an field with self-interaction hole, which uses dynamical renormalization group method. We find that for relativistic clouds, saturation superradiant instability scattering due does not occur weakly non-linear regime when consider adiabatic growth cloud single mode. This may suggest explosive phenomenon called Bosenova inevitably happen, at least once its evolutionary history.