Scattering Towards the Spacelike Singularity in Kasner Spacetimes

Explore the intricacies of Kasner spacetimes and their role in understanding spacelike singularities in General Relativity through this 34-minute conference talk. Delve into the study of two model hyperbolic systems in Kasner spacetimes: the scalar wave equation and the linearized Einstein-scalar field system. Discover recent findings on the precise quantification of blow-up asymptotics near the t = 0 singularity of Kasner. Examine the sharp correspondence between Cauchy data and asymptotic data at the singularity, uncovering fascinating phenomena related to gains and losses of regularity. Gain insights from this presentation, which was part of the Thematic Programme on "Nonlinear Waves and Relativity" held at the Erwin Schrödinger International Institute for Mathematics and Physics.