Singularity theorems for W^{2,p}-metrics

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• Melanie Graf, University of Vienna
• Monday 04 March 2019, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

The classical singularity theorems of General Relativity show that a Lorentzian manifold with a smooth metric that satisfies physically reasonable conditions cannot be geodesically complete. In my talk I will discuss current work in progress on proving Hawking’s singularity theorem for metrics that are locally W ^{with p greater than the spacetime dimension and how similar considerations should also allow for a proof of a version of the Penrose singularity theorem. This improves upon recent previous work establishing singularity theorems for C}{1,1} metrics.

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

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