On the Classification Problem for Static Metrics with Positive Cosmological Constant

Explore a 59-minute lecture on the classification problem for static metrics with positive cosmological constant, delivered by L. Mazzieri at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Part of the Workshop on "Mathematical Relativity: Past, Present, Future" held in December 2023, this talk delves into an enduring challenge in mathematical general relativity. Examine the complexities of classifying static solutions to the vacuum Einstein field equations in the presence of a positive cosmological constant. Discover how this problem intertwines with the quest to define a relevant concept of mass within this framework. Gain insights into recent advances made in addressing these fundamental questions in the field of mathematical relativity.