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The stability of black holes with matter
Elena Giorgi, Princeton University
Location: Via Zoom
Date & time: Monday, 30 November 2020 at 12:00PM - 1:00PM
Abstract: Black holes are fundamental objects in our understanding of the universe. The mathematics behind them has surprising geometric properties, and their dynamics is governed by hyperbolic PDEs. A basic question one may ask is whether these solutions to the Einstein equation are stable under small perturbations, which is a typical requirement to be physically meaningful. We will see how the dispersion of gravitational waves plays a key role in the stability problem, illustrating the main conjectures and some recent theorems regarding the evolution of black holes and their interaction with matter fields.