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SUMMARY:The linear stability of the Schwarzschild solution to gravitationa
 l perturbations in a generalised wave gauge - Thomas Johnson (University o
 f Cambridge)
DTSTART:20180608T120000Z
DTEND:20180608T130000Z
UID:TALK106819@talks.cam.ac.uk
CONTACT:Michalis Agathos
DESCRIPTION:In this talk we shall discuss our recent result which establis
 hes that the Schwarzschild family of black holes are linearly stable as so
 lutions to the Einstein vacuum equations when expressed in a generalised w
 ave gauge: all sufficiently regular solutions to the system of equations t
 hat result from linearising the Einstein vacuum equations\, as expressed i
 n a generalised wave gauge\, about a fixed Schwarzschild solution decay at
  an inverse polynomial rate to the sum of a residual pure gauge and linear
 ised Kerr solution. The result thus complements the recent seminal paper o
 f Dafermos—Holzegel—Rodnianski in a similar vein as to how the work of
  Lindblad—Rodnianski complemented that of Christodoulou—Klainerman in 
 establishing the nonlinear stability of the Minkowski space.
LOCATION:Pavilion B Potter Room (B1.19)
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