2/9/2005

Sergiu Klainerman
Princeton University

Causal geometry of space-times with bounded curvature flux

I will describe my recent result with I. Rodnianski concerning the absence of singularities for solutions to
the Einstein field equations with bounded curvature flux. This is a natural $L²$ bound on components of the curvature tensor on null and space-like hypersurfaces. I will compare the result with other removal of singularity results in Riemannian geometry and nonlinear PDE's such as Euler and Navier-Stokes equations.