CRITICAL RELAXATION IN ADS/CFT

It is not only known that hairy black holes can exist in asymptotically Anti-de Sitter (AdS) spaces, but also that in the context of the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, such black holes can be interpreted as holographic duals of superfluids. After a perturbation, these black holes usually exhibit an exponentially damped ringing down described by quasi-normal modes, however, we will show that for perturbations around the exact critical point that characterizes the onset of the formation of scalar hair, this relaxation will exhibit a power law behaviour at late times. We will also explain how this can be interpreted through the lens of the AdS/CFT correspondence.