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SUMMARY:Singularity theorems for W^{2\,p}-metrics - Melanie Graf\, Univers
 ity of Vienna
DTSTART:20190304T150000Z
DTEND:20190304T160000Z
UID:TALK120328@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION: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 d
 iscuss current work in progress on proving Hawking's singularity theorem f
 or metrics that are locally W^{2\,p} with p greater than the spacetime dim
 ension and how similar considerations should also allow for a proof of a v
 ersion of the Penrose singularity theorem. This  improves upon recent prev
 ious work establishing singularity theorems for C^{1\,1} metrics.
LOCATION:CMS\, MR13
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