Geometry/Topology Seminar
Tuesday April 27th, 2021
Time: 4:30 PM
Title: Singularity formation in black Hole interiors
Speaker: Spyros Alexakis, University of Toronto
Location: Online
Abstract:
Starting from classical examples of singularity formation inside
black holes, I will recall the strong cosmic censorship conjecture of
Penrose regarding question. I will also review some further predictions
and known results on the generic behavior of the space-time metric as it
terminates at a singularity; these results will be compared with the
complementary picture on initial, big-bang type singularities. The main
new result we will present is a recent proof of the perturbative stability
of the Schwarzschild singularity in vacuum, under polarized perturbations
of the initial data. The singularity that then forms is again of
space-like character, and the solution displays asymptotically-velocity-term-dominated
behavior upon approach to the singularity. Joint with G. Fournodavlos.