Dejan Gajic (Cambridge): Quasinormal modes on asymptotically flat spacetimes

Monday 22 Jun 2020, 15:15 → 16:15 Europe/Berlin

Abstract: A fundamental problem in the context of Einstein's equations of general relativity is to understand precisely the dynamical evolution of small perturbations of stationary asymptotically flat spacetimes. It is expected that there is a discrete set of characteristic frequencies that play a dominant role at late time intervals and carry information about the nature of the stationary spacetime. These frequencies are called quasinormal frequencies and they are intimately related to resonances for Schrödinger equations. I will introduce a new method for characterizing quasinormal modes as honest eigenfunctions living in a Hilbert space, based on joint work with Claude Warnick.