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SUMMARY:Scattering of linear waves in the interior of Reissner–Nordströ
 m black holes - Christoph Kehle (University of Cambridge)
DTSTART:20180511T120000Z
DTEND:20180511T130000Z
UID:TALK105799@talks.cam.ac.uk
CONTACT:Michalis Agathos
DESCRIPTION: I will present the first definitive scattering theory for lin
 ear waves ($\\Box_g \\psi =0$) on the interior of Reissner–Nordström bl
 ack holes\, which can be considered as the most elementary black holes in 
 the context of scattering. These spacetimes admit two Killing horizons\, t
 he event and Cauchy horizon\, and we investigate how incoming physical dat
 a on the event horizon evolve and are scattered to the Cauchy horizon. I w
 ill show the heart of the proof of the scattering theory which is the unif
 orm boundedness of the reflection and transmission coefficients of the res
 ulting radial o.d.e. after separation of variables. In the physical space 
 picture\, this translates into the fact that the Cauchy evolution from the
  event horizon to the Cauchy horizon is a Hilbert space isomorphism. The H
 ilbert spaces are defined by the T energy fluxes on the horizons.\n\nFinal
 ly\, I will outline that\, in contrast to the above\, for a generic set of
  cosmological constants\, there is no T energy scattering theory for eithe
 r the linear wave equation or the Klein–Gordon equation with conformal m
 ass on the (anti-) de Sitter–Reissner–Nordström interior. This is joi
 nt work with Y. Shlapentokh-Rothman.
LOCATION:Pavilion B Potter Room (B1.19)
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