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SUMMARY:A geometric invariant measuring the deviation from Kerr data - Jua
 n Valiente\, Queen Mary
DTSTART:20100604T120000Z
DTEND:20100604T130000Z
UID:TALK25050@talks.cam.ac.uk
CONTACT:David Kubiznak
DESCRIPTION:I will discuss the construction of a geometrical invariant for
  regular asymptotically Euclidean data for the vacuum Einstein field equat
 ions. This invariant vanishes if and only if the data corresponds to a sli
 ce of the Kerr black hole spacetime\, thus\, it provides a measure of the 
 non-Kerrness of generic data. In order to motivate the construction of the
  geometric invariant\, I will discuss a characterisation of the Kerr space
 time using valence 2 Killing spinors this will lead to the notion of appro
 ximate Killing spinors. An approximate Killing spinor is a valence 2 symme
 tric spinor satisfying a system of second order linear elliptic equations.
  The existence of solutions to this elliptic system with the appropriate b
 ehaviour at infinity will be\ndiscussed. This is work in collaboration wit
 h T. Backdahl.
LOCATION:Pavilion B Potter Room (B1.19)
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