Timelike Ricci Bounds and Einstein's Theory of Gravity in Non-Smooth Settings

Explore a 46-minute conference talk from the Workshop on "Non-regular Spacetime Geometry" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) in March 2023. Delve into the world of Lorentzian synthetic spaces and optimal transport theory as the speaker introduces the concept of "timelike Ricci curvature and dimension bounds" for non-smooth Lorentzian spaces. Discover how these bounds relate to physical interpretations, such as the attractive nature of gravity, and learn about their application in characterizing Einstein's equations for non-smooth spaces. Gain insights from the speaker's collaborative work with S. Suhr and F. Cavalletti, expanding your understanding of non-regular spacetime geometry and its implications for Einstein's theory of gravity.

Andrea Mondino - Timelike Ricci bounds and Einstein's theory of gravity in a non smooth setting