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SUMMARY:Mode stability for the Teukolsky equation on extremal Kerr black h
 ole spacetimes - Rita Teixeira da Costa (University of Cambridge)
DTSTART:20200117T130000Z
DTEND:20200117T140000Z
UID:TALK136246@talks.cam.ac.uk
CONTACT:Dejan Gajic
DESCRIPTION:We prove that there are no exponentially growing modes nor mod
 es on the real axis for the Teukolsky equation on extremal Kerr black hole
  spacetimes. While the result was previously known for subextremal spaceti
 mes\, we show that the proof for the latter cannot be extended to the extr
 emal case as the nature of the event horizon changes radically in the extr
 emal limit.\n\nFinally\, we explain how mode stability could serve as a pr
 eliminary step towards understanding boundedness\, scattering and decay pr
 operties of general solutions to the Teukolsky equation on extremal Kerr b
 lack holes.
LOCATION:Pavilion B Potter Room (B1.19)
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