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SUMMARY:Horizon instability of an extreme Reissner-Nordstrom black hole - 
 Tanahashi\, N (University of Tokyo)
DTSTART:20130917T133000Z
DTEND:20130917T140000Z
UID:TALK47161@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: James Lucietti (Edinburgh U)\, Keiju Murata (Keio 
 U)\, Harvey S. Reall (Cambridge U)\n\nRecently\, a novel instability was f
 ound for a massless scalar field on an extreme Reissner-Nordstrom black ho
 le. This instability is due to purely classical effect\, and it makes a pa
 rt of energy-momentum tensor of the scalar field discontinuous on the hori
 zon at late time. We show that a similar instability occurs in also for a 
 massive scalar field and for coupled linearized gravitational and electrom
 agnetic perturbations. We also study numerically the nonlinear evolution o
 f this instability for spherically symmetric perturbations of an extreme R
 eissner-Nordstrom (RN) black hole. We find that generically the endpoint o
 f the instability is a non-extreme RN solution\, while there exist fine-tu
 ned initial perturbations for which the instability never decays. We discu
 ss the physical mechanism and implications of this instability\, and also 
 argue the final fate of the system after nonlinear effects set in.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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