MaxPlanckInstitut für Gravitationsphysik, AlbertEinsteinInstitut  

Critical phenomena and the Aretakis instability of extremal black hole perturbations 
Starts at:  Wed 23 Jan 2019, 14:00  
Speaker:  Peter Zimmerman  Institute:  Max Planck Institute for Gravitational Physics Pot 
Abstract:  Perturbations of extremal black holes are asymptotically selfsimilar under the nearhorizon, latetime scaling symmetry of the background metric. In this talk, I will explain why this effect is universal and how it accounts for the Aretakis instability \(growth of transverse derivatives\) as a critical phenomenon associated with the emergent symmetry. Taking Kerr as an example, I will show how the decay of each perturbing mode is characterized by a critical exponent after defining suitable notions of weak and strong selfsimilarity. I will end with a simple argument for why all generally covariant scalar quantities decay to zero despite the growth of transverse derivatives. 

Seminartype:  Ordinary  
Room:  Seminarraum 0.01  
Contact: Alexander Prostimkin  