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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:On the uniqueness of extremal vacuum black holes a
nd integrability of minimal supergravity - Pau Fig
ueras\, Durham University
DTSTART;TZID=Europe/London:20091127T130000
DTEND;TZID=Europe/London:20091127T140000
UID:TALK20889AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/20889
DESCRIPTION:In the first part of the talk I will present uniqu
eness theorems for asymptotically flat\, stationar
y\, extremal\, vacuum black hole solutions\, in fo
ur and five dimensions with one and two commuting
rotational Killing fields respectively. As in the
non-extremal case\, these problems may be cast as
boundary value problems on the two dimensional orb
it space. In four dimensions this allows us to est
ablish the uniqueness of extremal Kerr amongst asy
mptotically flat\, stationary\, rotating\, vacuum
black holes with a single extremal horizon. In the
second part of the talk\, I will consider minimal
supergravity restricted to stationary solutions w
ith two commuting rotational Killing fields. I wil
l show\, using the non-linear sigma model descript
ion\, that for this class of solutions this theory
is completely integrable by constructing the cor
responding Lax pair. Finally I will discuss how on
e may construct an inverse scattering method for t
his theory.
LOCATION:Pavilion B Potter Room (B1.19)
CONTACT:David Kubiznak
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