Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore a groundbreaking lecture on stable big bang formation in mathematical relativity. Delve into recent advancements in the field, including the work of Fournodavlos, Rodnianski, and Speck on spatially homogeneous and spatially flat solutions. Discover a new result by Hans Ringström, Hans Oude Groeniger, and Oliver Petersen that identifies general conditions for big bang formation without relying on symmetric background solutions. Examine how this research reproduces previous findings in Einstein-scalar field and Einstein-vacuum settings while extending to the Einstein-non-linear scalar field context. Gain insights into the future and past global non-linear stability of large classes of spatially locally homogeneous solutions. Enhance your understanding of mathematical relativity and its implications for cosmological models in this 51-minute talk from the Workshop on "Mathematical Relativity: Past, Present, Future" held at the Erwin Schrödinger International Institute for Mathematics and Physics. Read more