|Non-equilibrium Dynamics and Random Matrices|
|Topic:||Choptuik's critical spacetime|
|Affiliation:||Member, School of Mathematics|
|Date:||Friday, March 14|
|Time/Room:||11:00am - 12:00pm/S-101|
About twenty years ago, Choptuik studied numerically the gravitational collapse (Einstein field equations) of a massless scalar field in spherical symmetry, and found strong evidence for a universal, self-similar solution at the threshold of black hole formation. We give a rigorous, computer assisted proof of the existence of Choptuik's spacetime, and show that it is real analytic. This is joint work with E. Trubowitz.