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Vacuum gravitational collapse in 4+1 dimensions

Presented by: 
P Bizon [Jagellonian]
Monday 12th September 2005 - 16:00 to 17:00
INI Seminar Room 1

In my talk I will present a recent joint work with Chmaj and Schmidt on radially symmetric vacuum gravitational collapse in $4+1$ dimensions. The key idea which allows us to evade the Birkhoff theorem is to introduce dynamical degrees of freedom corresponding to deformations of the spatial three-sphere. I will discuss the process of convergence to the Schwarzschild black hole in this model and will demonstrate the discretely self-similar type II critical behavior at the threshold of black hole formation.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons