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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:Non-linear dynamics and the (in)stability of AdS -
Fotios Dimitrakopoulos\, Amsterdam
DTSTART;TZID=Europe/London:20161028T130000
DTEND;TZID=Europe/London:20161028T140000
UID:TALK68852AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/68852
DESCRIPTION:AdS is one of the three vacuum solutions to Genera
l Relativity and\, as such\, the natural question
to ask is whether it is stable or not. Although th
e other two vacuum solutions\, namely Minkowski an
d de Sitter spaces\, were proven long ago to be no
n-linearly stable\, a similar study had not taken
place for AdS until a few years ago. The first mod
el developed to study this problem was that of a p
erturbation of AdS in the form of a spherically sy
mmetric\, massless scalar field. One then traces t
he evolution of the scalar field to see whether it
collapses to form a Black Hole\, or the perturbat
ion remains small for ever. Although initially it
was conjectured that AdS is generically unstable\,
later developments on the subject revealed a larg
e class of perturbations that do not collapse\, ra
ising in this way questions about the initial conj
ecture. In this talk\, I will review the model of
spherical symmetric perturbations in AdS explainin
g at the same time the underlying dynamics\, I wil
l refer to both numerical and analytic results and
I will try to explain the phase space of solution
s in the limit where the amplitude of the perturba
tion vanishes.\n
LOCATION:Pavilion B Potter Room (B1.19)
CONTACT:Christopher Moore
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