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SUMMARY:Non-linear dynamics and the (in)stability of AdS - Fotios Dimitrak
 opoulos\, Amsterdam
DTSTART:20161028T120000Z
DTEND:20161028T130000Z
UID:TALK68853@talks.cam.ac.uk
CONTACT:Christopher Moore
DESCRIPTION:AdS is one of the three vacuum solutions to General Relativity
  and\, as such\, the natural question to ask is whether it is stable or no
 t. Although the other two vacuum solutions\, namely Minkowski and de Sitte
 r spaces\, were proven long ago to be non-linearly stable\, a similar stud
 y had not taken place for AdS until a few years ago. The first model devel
 oped to study this problem was that of a perturbation of AdS in the form o
 f a spherically symmetric\, massless scalar field. One then traces the evo
 lution of the scalar field to see whether it collapses to form a Black Hol
 e\, or the perturbation remains small for ever. Although initially it was 
 conjectured that AdS is generically unstable\, later developments on the s
 ubject revealed a large class of perturbations that do not collapse\, rais
 ing in this way questions about the initial conjecture. In this talk\, I w
 ill review the model of spherical symmetric perturbations in AdS explainin
 g at the same time the underlying dynamics\, I will refer to both numerica
 l and analytic results and I will try to explain the phase space of soluti
 ons in the limit where the amplitude of the perturbation vanishes.\n
LOCATION:Pavilion B Potter Room (B1.19)
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