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SUMMARY:Stability and Instability of Extreme Reissner-Nordstrom Black Hole
  Spacetimes for Linear Scalar Perturbations - Stefanos Aretakis\, DPMMS
DTSTART:20110513T120000Z
DTEND:20110513T130000Z
UID:TALK30868@talks.cam.ac.uk
CONTACT:David Kubiznak
DESCRIPTION:We consider solutions of the linear wave equation on extreme R
 eissner-Nordstrom.  The wave equation on black hole backgrounds has been t
 he object of intense study during the last decade. Decay results have been
 \nestablished for solutions to the linear wave equation on several subextr
 eme black holes. However\, the methods and techniques that have been devel
 oped break down in the case of extreme black holes\, where the redshift ef
 fect degenerates. In this talk\, I am going to derive pointwise decay of t
 he solutions to the wave equation on extreme Reissner-Nordstrom and show t
 hat the transversal to the horizon derivatives do not decay. In fact\, I w
 ill derive pointwise and energy blow-up estimates for the higher order tra
 nsversal to the horizon derivatives. Several new analytical features of de
 generate horizons will also be presented.
LOCATION:Pavilion B Potter Room (B1.19)
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