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SUMMARY:Formation of trapped surfaces for the Einstein-Yang-Mills system -
  Nikolaos Athanasiou (Crete)
DTSTART:20231127T140000Z
DTEND:20231127T150000Z
UID:TALK208393@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:The purpose of this talk is to give an overview of a semi-glob
 al existence result and a trapped surface formation results in the context
  of the Einstein-Yang-Mills system. Adopting a “signature for decay rate
 s” approach first introduced by X. An\, we develop a gauge (and scale) i
 nvariant hierarchy of non-linear estimates for the Yang-Mills curvature wh
 ich\, together with the estimates for the gravitational degrees of freedom
 \, yield the desired semi-global existence result. Once semi-global existe
 nce has been established\, we will explain how the formation of a trapped 
 surface follows from a standard ODE argument. This is joint work with Pusk
 ar Mondal and Shing-Tung Yau.
LOCATION:MR13
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