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SUMMARY:Price's law on nonstationary spacetimes - Jason Metcalfe (UNC Chap
 el Hill)
DTSTART:20111020T130000Z
DTEND:20111020T140000Z
UID:TALK33799@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:This is a report on a joint work with D. Tataru and M. Tohanea
 nu.  Here we look at pointwise decay of solutions to wave equations on cer
 tain asympototically flat spacetimes.  Assuming a class of localized energ
 y estimates\, we show that a $t^{-3}$ uniform local decay rate holds.  Thi
 s corresponds to Price's law.  The class of localized energy estimates whi
 ch are assumed are known to hold on the Schwarzschild spacetime and Kerr s
 pacetimes with small angular momentums.  Such decay rates were previously 
 shown by Tataru\non these stationary space-times.  Our methods are more ro
 bust as\,\ne.g.\, we additionally show that the localized energy estimates
 \, and thus Price's law\, hold for certain classes of time-dependent pertu
 rbations of these spaces.
LOCATION:CMS\, MR13
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