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SUMMARY:Stability in exponential time of Minkowski Space-time with a trans
 lation space-like Killing field - Cecile Huneau\, ENS
DTSTART:20150511T140000Z
DTEND:20150511T150000Z
UID:TALK59348@talks.cam.ac.uk
CONTACT:Amit Einav
DESCRIPTION:In the presence of a translation space-like Killing field the 
 3 +1 vacuum Einstein equations reduce to the 2+ 1 Einstein equations with 
 a scalar field. We work in generalised wave coordinates. In this gauge Ein
 stein\nequations can be written as a system of quasilinear quadratic wave\
 nequations. The main difficulty  is due to the weak decay of free solution
 s to the wave equation in 2 dimensions. To prove long time existence of so
 lutions\, we have to rely on the particular structure of Einstein equation
 s in wave coordinates. We also have to carefully choose the behaviour of o
 ur metric in the exterior region to enforce convergence to Minkowski space
 -time at time-like infinity.
LOCATION:CMS\, MR13
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