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Scattering towards the singularity in Kasner spacetimes

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If you have a question about this talk, please contact Amelie Justine Loher .

The Kasner spacetimes are solutions to Einstein’s equations that play a decisive role in the study of spacelike singularities in GR. In this talk, we study two model hyperbolic systems in Kasner spacetimes, namely the scalar wave equation and the linearized Einstein(-scalar field) system, whose solutions have certain quantitative blow-up asymptotics near the singularity of Kasner. We present recent results deriving a sharp correspondence between Cauchy data and asymptotic data at the singularity, which reveals interesting phenomena regarding gains and losses of regularity.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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