A sharp counter example to local existence for Einstein equations in wave coordinates

A sharp counter example to local existence for Einstein equations in wave coordinates

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Hans Lindblad , Johns Hopkins University
Fine Hall 110

We are concerned with how regular initial data have to be to ensure local existence for Einstein's equations in wave coordinates. Klainerman-Rodnianski and Smith-Tataru showed that there in general is local existence for data in H^s for s>2. We give example of data in  H^2 for which there is no local solution in  H^2. This is joint work with Boris Ettinger.