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General Relativity Geodesic Problem

  1. Oct 28, 2004 #1
    Show that x1=asecx2 is a geodesic for the Euclidean metric in polar coordinates.

    So I tried taking all the derivatives and plugging into polar geodesic equations. Obviously, bad idea.

    Now I'm thinking I need to use Dgab/du=gab;cx'c and prove that the lengths of some vectors and their dot product are invariants under parallel transport, but I don't know how to go about doing that. Any advice on how to relate these concepts would be appreciated.
  2. jcsd
  3. Oct 29, 2004 #2
    this turned out to be very simple.
    since it is in 2D space, it is a straight line therefore a geodesic.
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