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SUMMARY:Applications of the Gaussian Beam approximation to black hole spac
 etimes - Jan Sbierski (DAMTP)
DTSTART:20130315T130000Z
DTEND:20130315T140000Z
UID:TALK42080@talks.cam.ac.uk
CONTACT:Dr Joan Camps
DESCRIPTION:Motivated by the black hole stability problem\, various people
  have studied the wave equation on black hole spacetimes. In particular\, 
 it is of interest to prove local energy decay (LED) for waves. However\, d
 ue to the presence of trapping in black hole spacetimes\, there is a well-
 known heuristic obstruction to LED\, namely the existence of highly oscill
 atory solutions to the wave equation whose energies stay localised for arb
 itrarily long\, but finite time. This only allows for a "weaker" form of L
 ED to hold. In this talk\, using the Gaussian Beam approximation\, we will
  make these heuristics rigorous. In particular\, we present a characterisa
 tion of the energy of a Gaussian Beam\, which is a crucial ingredient for 
 the above undertaking.
LOCATION:Pavilion B Potter Room (B1.19)
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