Homogenization of the Einstein equations under symmetry (in-person talk)

Homogenization of the Einstein equations under symmetry (in-person talk)

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Rita Teixeira da Costa, Princeton University
Fine Hall 314

Hybrid Event

Zoom Link:  https://princeton.zoom.us/j/92147928280

Passcode: required

Due to their nonlinear nature, the Einstein's equations are not closed under weak convergence. Compactness singulaties associated to highly oscillatory solutions may be identified with additional, non-trivial matter. In 1989, Burnett conjectured that, for vacuum sequences, the matter produced in the limit is captured by the Einstein-massless Vlasov model.

In this talk, we give a proof of Burnett's conjecture under some gauge and symmetry assumptions, improving previous work by Huneau—Luk from 2019. Our methods are more general, and apply to oscillating sequences of solutions to the wave maps equation in (1+2)-dimensions.

This is joint work with André Guerra (University of Oxford).