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Geometry of Einstein Tensor

  1. May 7, 2014 #1


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    Do you know how could I interpret the Einstein Tensor geometrically (on a general manifold)?
    For example the Christoffel Symbols can show someone the divergence/convergence of geodesics and/or show how the change of metric from point to point creates an additional force/potential (through the equation of geodesics), as well as how we can parallel transpose a vector (since they appear in the covariant derivative as connections)
    I guess this should go all the way up to interpreting the Riemann curvature tensor?
  2. jcsd
  3. May 7, 2014 #2


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