Self-Similarity and Naked Singularities for the Einstein Vacuum Equations

Explore the intricacies of the weak cosmic censorship conjecture and the challenge of constructing naked singularities for the Einstein vacuum equations in this 1-hour 7-minute lecture by Yakov Shlapentokh-Rothman. Delivered as part of the André Aisenstadt Prize Lectures at the Centre de recherches mathématiques, delve into the discovery of a new type of self-similarity and its application in constructing naked singularity solutions. Gain insights into advanced concepts in mathematical physics and cosmology as Shlapentokh-Rothman presents his groundbreaking research on self-similarity and its implications for understanding the nature of singularities in Einstein's vacuum equations.