Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

A Nonsmooth Approach to Einstein's Theory of Gravity

Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a nonsmooth approach to Einstein's theory of gravity in this 41-minute lecture from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the challenges of Einstein's smooth formulation of gravity in light of Hawking and Penrose's singularity theorems. Examine the successful theory of metric and metric-measure geometry in positive-definite signature, which allows for nonsmooth limits under dimension and curvature bounds. Investigate recent progress in developing an analogous theory for Lorentzian signature, aiming to create a nonsmooth theory of gravity. Learn about Kunzinger and Saemann's theory of Lorentzian length spaces, focusing on the time-separation function. Discover the compatibility of different notions of timelike geodesics and explore a synthetic reformulation of the null energy condition. Gain insights into the consistency and stability properties of this approach, bridging the gap between smooth and nonsmooth geometries in the context of Einstein's theory of gravity.

Syllabus

Robert McCann - A nonsmooth approach to Einstein‘s theory of gravity

Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Reviews

Start your review of A Nonsmooth Approach to Einstein's Theory of Gravity

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.