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SUMMARY:On the horizon instability of an extreme Reissner-Nordstr\\&quot\;
 om black hole - Keiju Murata (DAMTP)
DTSTART:20130308T130000Z
DTEND:20130308T140000Z
UID:TALK42079@talks.cam.ac.uk
CONTACT:Dr Joan Camps
DESCRIPTION:Aretakis has proved that a massless scalar field has an instab
 ility at the horizon of an extreme Reissner-Nordstr\\"om black hole. We sh
 ow that a similar instability occurs also for a massive scalar field and f
 or coupled linearized gravitational and electromagnetic perturbations. We 
 present numerical results for the late time behaviour of massless and mass
 ive scalar fields in the extreme RN background and show that instabilities
  are present for initial perturbations supported outside the horizon\, e.g
 . an ingoing wavepacket. We also present recent results on non-linear time
  evolution of the instability.
LOCATION:Pavilion B Potter Room (B1.19)
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