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Applied and Computational Math Seminar

Homogenization in General Relativity

André Guerra (ETH Zürich)

Location:  Hill 425
Date & time: Thursday, 19 October 2023 at 2:30PM - 3:30PM

Given their highly nonlinear nature, Einstein’s vacuum equations are not closed under weak convergence and hence sequences of weakly-convergent solutions may generate a non-trivial energy momentum tensor in the limit. In 1989 Burnett conjectured that, for a sequence of vacuum solutions which oscillates with high frequency, this limit is characterized by the Einstein-massless Vlasov model: in particular, starting from vacuum, matter is generated through homogenization. In this talk we will present a proof of this conjecture, under appropriate gauge and symmetry assumptions. Based on joint work with Rita Teixeira da Costa (Princeton University).

Joint with the Hyperbolic & Dispersive PDE Seminar

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