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UID:20250312T161227EDT-1418t4I0Nu@132.216.98.100
DTSTAMP:20250312T201227Z
DESCRIPTION:The nonlinear stability of Minkowski space for self-gravitating
  massive fields.\n\nI will review results on the global evolution of self-
 gravitating massive matter in the context of Einstein's theory as well as 
 the f(R)-theory of gravity. In collaboration with Yue Ma (Xian)\, I have i
 nvestigated the global existence problem for the Einstein equations couple
 d with a Klein-Gordon equation describing the evolution of a massive scala
 r field. Our main theorem establishes the global nonlinear stability of Mi
 nkowski spacetime upon small perturbations of the metric and the matter fi
 eld. Recall that the fully geometric proof by Christodoulou and Klainerman
  in 1993\, as well as the proof in wave gauge by Lindblad and Rodnianski i
 n 2010\, both apply to vacuum spacetimes and massless fields only. Our new
  technique of proof\, which we refer to as the Hyperboloidal Foliation Met
 hod\, does not use Minkowski's scaling field and is based on a foliation o
 f the spacetime by asymptotically hyperboloidal spacelike hypersurfaces\, 
 on sharp estimates for wave and Klein-Gordon equations\, and on an analysi
 s of the quasi-null hyperboloidal structure (as we call it) of the Einstei
 n equations in wave gauge.\n
DTSTART:20161104T200000Z
DTEND:20161104T210000Z
LOCATION:Room 6254\, CA\, QC\, Montreal\, H3T 1J4\, Pavillon André-Aisensta
 dt\, 2920\, Chemin de la tour\, 5th floor
SUMMARY:Philippe G. LeFloch\, Université Pierre et Marie Curie\, Paris 6
URL:/mathstat/channels/event/philippe-g-lefloch-univer
 site-pierre-et-marie-curie-paris-6-263867
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