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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:On the structure and strength of singularities: In
extendibility results for Lorentzian manifolds - J
an Sbierski (University of Oxford)
DTSTART;TZID=Europe/London:20200710T120000
DTEND;TZID=Europe/London:20200710T130000
UID:TALK148768AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/148768
DESCRIPTION:Given a solution of the Einstein equations a funda
mental question is whether one can extend the solu
tion or whether the solution is maximal. If the so
lution is inextendible in a certain regularity cla
ss due to the geometry becoming singular\, a furth
er question is whether the strength of the singula
rity is such that it terminates classical time-evo
lution.\n\nIn this talk we give an overview of low
-regularity inextendibility results for Lorentzian
manifolds. We briefly recall the obstructions to
continuous extensions of the Minkowski and Schwarz
schild spacetimes and then discuss new results sho
wing the locally Lipschitz inextendibility of FLRW
models with particle horizons and spherically sym
metric weak null singularities. The latter in part
icular apply to the spherically symmetric spacetim
es constructed by Luk and Oh\, improving their C^2
-formulation of strong cosmic censorship to a loca
lly Lipschitz formulation.
LOCATION:Online (Ask for the link to rav25@cam.ac.uk).
CONTACT:Renato Velozo
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