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SUMMARY:On the uniqueness of extremal vacuum black holes and integrability
  of minimal supergravity - Pau Figueras\, Durham University
DTSTART:20091127T130000Z
DTEND:20091127T140000Z
UID:TALK20889@talks.cam.ac.uk
CONTACT:David Kubiznak
DESCRIPTION:In the first part of the talk I will present uniqueness theore
 ms for asymptotically flat\, stationary\, extremal\, vacuum black hole sol
 utions\, in four 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 orbit space
 . In four dimensions this allows us to establish the uniqueness of extrema
 l Kerr amongst asymptotically flat\, stationary\, rotating\, vacuum black 
 holes with a single extremal horizon. In the second part of the talk\, I w
 ill consider minimal supergravity restricted to stationary solutions with 
 two commuting rotational Killing fields. I will show\, using the non-linea
 r sigma model description\, that for this class of solutions this theory i
 s  completely integrable by constructing the corresponding Lax pair. Final
 ly I will discuss how one may construct an inverse scattering method for t
 his theory. 
LOCATION:Pavilion B Potter Room (B1.19)
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