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SUMMARY:Annachiara Piubello (University of Copenhagen)
DTSTART:20251204T143000Z
DTEND:20251204T153000Z
DTSTAMP:20260423T023045Z
UID:jomarec/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/47/"
 >A geometric choice of asymptotically Euclidean coordinates via STCMC-foli
 ations</a>\nby Annachiara Piubello (University of Copenhagen) as part of J
 oMaReC - Joint Online Mathematical Relativity Colloquium\n\n\nAbstract\nAs
 ymptotically Euclidean initial data sets (IDS) in General Relativity model
  instants in time for isolated systems. In this talk\, we show that an IDS
  is asymptotically Euclidean if it admits a cover by closed hypersurfaces 
 of constant spacetime mean curvature (STCMC)\, provided these hypersurface
 s satisfy certain geometric estimates\, some weak foliation properties\, a
 nd each surface exhibits generalized stability. Building on the work of Ce
 derbaum and Sakovich (2021)\, which established that every asymptotically 
 Euclidean IDS has a unique STCMC foliation\, we conclude that the existenc
 e of such a foliation characterizes asymptotically Euclidean IDS. Furtherm
 ore\, we explore the connections to the center of mass and show why these 
 coordinates seem well-adapted to describe this concept. This is joint work
  with O. Vičánek Martínez.\n
LOCATION:https://researchseminars.org/talk/jomarec/47/
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