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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:Scattering of linear waves in the interior of Reis
sner–Nordström black holes - Christoph Kehle (Univ
ersity of Cambridge)
DTSTART;TZID=Europe/London:20180511T130000
DTEND;TZID=Europe/London:20180511T140000
UID:TALK105799AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/105799
DESCRIPTION: I will present the first definitive scattering th
eory for linear waves ($\\Box_g \\psi =0$) on the
interior of Reissner–Nordström black holes\, which
can be considered as the most elementary black ho
les in the context of scattering. These spacetimes
admit two Killing horizons\, the event and Cauchy
horizon\, and we investigate how incoming physica
l data on the event horizon evolve and are scatter
ed to the Cauchy horizon. I will show the heart of
the proof of the scattering theory which is the u
niform boundedness of the reflection and transmiss
ion coefficients of the resulting radial o.d.e. af
ter separation of variables. In the physical space
picture\, this translates into the fact that the
Cauchy evolution from the event horizon to the Cau
chy horizon is a Hilbert space isomorphism. The Hi
lbert spaces are defined by the T energy fluxes on
the horizons.\n\nFinally\, I will outline that\,
in contrast to the above\, for a generic set of co
smological constants\, there is no T energy scatte
ring theory for either the linear wave equation or
the Klein–Gordon equation with conformal mass on
the (anti-) de Sitter–Reissner–Nordström interior.
This is joint work with Y. Shlapentokh-Rothman.
LOCATION:Pavilion B Potter Room (B1.19)
CONTACT:Michalis Agathos
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