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SUMMARY:On the structure and strength of singularities: Inextendibility re
 sults for Lorentzian manifolds - Jan Sbierski (University of Oxford)
DTSTART:20200710T110000Z
DTEND:20200710T120000Z
UID:TALK148768@talks.cam.ac.uk
CONTACT:Renato Velozo
DESCRIPTION:Given a solution of the Einstein equations a fundamental quest
 ion is whether one can extend the solution or whether the solution is maxi
 mal. If the solution is inextendible in a certain regularity class due to 
 the geometry becoming singular\, a further question is whether the strengt
 h of the singularity is such that it terminates classical time-evolution.\
 n\nIn this talk we give an overview of low-regularity inextendibility resu
 lts for Lorentzian manifolds. We briefly recall the obstructions to contin
 uous extensions of the Minkowski and Schwarzschild spacetimes and then dis
 cuss new results showing the locally Lipschitz inextendibility of FLRW mod
 els with particle horizons and spherically symmetric weak null singulariti
 es. The latter in particular apply to the spherically symmetric spacetimes
  constructed by Luk and Oh\, improving their C^2-formulation of strong cos
 mic censorship to a locally Lipschitz formulation.
LOCATION:Online (Ask for the link to rav25@cam.ac.uk).
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