Elena Giorgi (Princeton University)
Title: On the stability of black holes in classical GR
Abstract: The stability of black holes is one of the main open problems in GR, and fits in the broader picture of the "final state conjecture", according to which all asymptotically flat initial data for the
Einstein equation eventually evolve into a finite number of Kerr solutions. We give an overview of the problem of stability of solutions to the Einstein equation, starting from the Minkowski space to the recent works on Schwarzschild, Kerr and Reissner-Nordström black hole. We describe the identification of gauge-invariant quantities and the Teukolsky-type equations they verify, and how to obtain quantitative decay for such solutions.
Scott Hughes (MIT)
Title: The large mass-ratio limit of the two-body problem in general relativity
Abstract: General relativity doesn’t have a “two-body” problem so much as it has a “one-spacetime” problem. Much of our analytic understanding of this problem has come from finding clearly defined two-body limits of the single dynamical spacetime which characterize such systems. In this talk, I will describe progress and ongoing work working with a particularly clean and astrophysically important such limit, that of large mass ratio. This limit very accurately describes extreme mass ratio capture systems, anticipated to be an important contributor to the data for future LISA measurements, and has proven surprisingly useful even at mass ratios that are not very large.