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SUMMARY:Seeing Through Space Time - Uhlmann\, G (University of Washington)
DTSTART:20140210T094500Z
DTEND:20140210T103000Z
UID:TALK50758@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider inverse problems for the Einstein equation with a 
 time-depending metric on a 4-dimensional globally hyperbolic Lorentzian ma
 nifold. We formulate the concept of active measurements for relativistic m
 odels. We do this by coupling Einstein equations with equations for scalar
  fields. \n\nThe inverse problem we study is the question\, do the observa
 tions of the solutions of the coupled system in an open subset of the spac
 e-time with the sources supported in an open set determine the properties 
 of the metric in a larger domain. To study this problem we define the conc
 ept of light observation sets and show that these sets determine the confo
 rmal class of the metric. This corresponds to passive observations from a 
 distant area of space which is filled by light sources. \n\nThis is joint 
 work with Y. Kurylev and M. Lassas.\n
LOCATION:Seminar Room 1\, Newton Institute
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