Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook