Speaker
Marta Sálamo Candal
(Vienna)
Description
In this talk, I will present comparison theorems for Lipschitz spacetimes in sharp form: timelike Brunn–Minkowski, timelike Bishop–Gromov, and timelike Bonnet–Myers. The two first results are obtained as a consequence of our main theorem, in which we show that a globally hyperbolic spacetime with locally Lipschitz continuous metric and timelike distributional Ricci curvature bounded from below obeys the timelike measure contraction property. The timelike Bonnet–Myers is obtained parallely using the localization technique from convex geometry. Our framework covers a remarkable class of examples of spacetimes, including impulsive gravity waves, thin shells, and matched spacetimes. This talk is based on joint work with Mathias Braun.