A general unique continuation theorem for the Einstein equations

A general unique continuation theorem for the Einstein equations

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Spyridon Alexakis, MIT
Fine Hall 110

I will discuss a unique continuation result for the vacuum Einstein equations across bifurcate horizons. The main result uses a recent Carleman estimate of Ionescu and Klainerman, together with some geometric gauge constructions. More broadly I will indicate how Carleman estimates for the wave operator can be used to derive unique continuation for the Einstein equations.