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SUMMARY:Jim Isenberg (University of Oregon)
DTSTART:20220602T133000Z
DTEND:20220602T143000Z
DTSTAMP:20260423T023044Z
UID:jomarec/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/11/"
 >Stability of AVTD behavior for polarized T^2-symmetric space-times</a>\nb
 y Jim Isenberg (University of Oregon) as part of JoMaReC - Joint Online Ma
 thematical Relativity Colloquium\n\n\nAbstract\nOne of the most effective 
 tools for proving that Strong Cosmic Censorship holds for a family of cosm
 ological solutions of Einstein’s equations is to verify that these solut
 ions all exhibit Asymptotically Velocity Term Dominated (AVTD) behavior in
  a neighborhood of their Big Bang singularities. After presenting some bac
 kground history of known results and conjectures concerning the behavior o
 f the gravitational field near the Big Bang in cosmological solutions of E
 instein’s equations\, we discuss recent work with Ellery Ames\, Florian 
 Beyer\, and Todd Oliynyk in which we prove that polarized T^2-Symmetric va
 cuum solutions in a neighborhood of Kasner solutions all exhibit AVTD beha
 vior close to the initial singularity. We also discuss our very recent ext
 ension of these results to the case of non-vanishing cosmological constant
 .\n
LOCATION:https://researchseminars.org/talk/jomarec/11/
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