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Cartan formalism

  1. Jul 6, 2010 #1
    Why it is said that tetrad field [tex]e^I = e^I_\mu \textrm{d} x^\mu [/tex] is a mapping
    from tangent space of the spacetime into Minkowski spacetime?
  2. jcsd
  3. Jul 6, 2010 #2
    Because it "neutralizes" spacetime curvature and projects a continuously flat (Minkowski) spacetime along a wordline of an observer.
  4. Jul 7, 2010 #3


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    Gold Member

    Yes, and the same thing can be achieved in GR by changing to a frame-field basis. It seems that Cartan formalism starts with the frame (tetrad) field and not the metric.
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