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SUMMARY:On the Linear (In)stability of Extremal Reissner-Nordström Spacet
 ime
DTSTART:20240209T141500
DTSTAMP:20260428T143535Z
UID:c51be830cccade0a3cd01ce83c085ebf0740f1806be9d36f38205874
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr Marios Apetroaie (University of Münster) \nAbstract\nGrav
 itational and electromagnetic perturbations for the full subextremal range
 \, |Q|<M\, of Reissner-Nordström spacetimes\, as solutions to the Einstei
 n-Maxwell equations\, have been shown to be linearly stable. We address th
 e aforementioned problem for the extremal\, |Q|=M\,  Reissner-Nordström 
 spacetime\, and contrary to the subextremal case we see that both stabilit
 y and instability results hold\, where the later manifests along the event
  horizon of the black hole\, H^+. In particular\, depending on the number 
 of horizon-transversal derivatives of derived gauge-invariant quantities\,
  we show decay\, non-decay\, and polynomial blow-up estimates asymptotical
 ly along H^+. This leads to analogous estimates for solutions to the gener
 alized Teukolsky system of positive and negative spin. Stronger and unprec
 edented instabilities are realized for the negative spin solutions\, with 
 the extreme curvature component\, $\\underline{a}$\, not decaying asymptot
 ically along the event horizon.\n\n 
LOCATION:MA B2 485 https://plan.epfl.ch/?room==MA%20B2%20485
STATUS:CONFIRMED
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