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SUMMARY:Non-linear stability of Schwarzschild-AdS for the spherically symm
 etric Einstein-Klein-Gordon system - Dr Jacques Smulevici\, Université Pa
 ris-Sud 11
DTSTART:20120418T140000Z
DTEND:20120418T150000Z
UID:TALK37521@talks.cam.ac.uk
CONTACT:CCA
DESCRIPTION:Joint work with Gustav Holzgel (Princeton University). One of 
 the most interesting objects of general relativity are the so-called black
  hole spacetimes. Mathematically\, they can be represented as Lorentzian m
 anifolds possessing certain global geometrical properties and whose Lorent
 zian metrics satisfy a set of hyperbolic PDES (the Einstein equations). Si
 nce the Einstein equations are evolution equations\, a natural question is
  to determine which solutions are stable or not from the point of view of 
 the initial value problem. After an introduction to the study of the Einst
 ein equations\, I will present one particular black hole solution\, namely
  the Schwarzschild-AdS solution\, and sketch a proof of its stability for 
 the spherically symmetric Einstein-Klein-Gordon system. If time permits\, 
 I will also discuss a linear decay result (without symmetry) on Schwarzsch
 ild-AdS and Kerr-AdS.  
LOCATION:MR2
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