Events

Singularity formation in black hole interiors

Abstract: “I will review the mathematical literature on the predicted behaviour of the classical gravitational field in the interior of black holes. The “classical” prediction is extrapolated from the scenario put forward in the 1970s in work of Belinkii, Khalatnikov and Lifshitz and Misner. It predicts a generically space-like behaviour and “chaotic” oscillatory dynamics upon approach to the singularity. The mathematical results to date are more far from confirming this scenario. I present joint work with G. Fournodavlos on a stability result for the Schwarzschild singularity (in polarized axi-symmetry), including full asymptotics of “velocity term dominated” type. The method of proof introduces a novel way to study the Einstein equations, with the hope that it can be useful in very unstable regimes.”

Bio: Spyros received his PhD at Princeton in 2005 under Charles Fefferman, with a thesis in conformal geometry. His earlier work was motivated by a conjecture of Deser and Schwimmer on the structure of conformal anomalies. He has since worked in General relativity (the “no hair” conjecture), aspects of the AdS-CFT correspondence and more recently inverse problems (mostly bulk reconstructions from boundary measurements). Spyros was a Clay Fellow 2008-2010 and has been at the University of Toronto since 2010, a professor since 2016.

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Monday, April 1, 2024 11:00 AM - 12:00 PM