Recent content by flaticus

  1. flaticus

    What are the non-zero Christoffel symbols for 2D polar coordinates?

    For spherical coordinates this is what I found: ##ds^2 = dr^2 + r^2 d\theta^2 + r^2 sin\theta^2 d\phi^2## ##\Gamma^r_{\theta \theta} = -r \\ \Gamma^r_{\phi \phi} = -rsin^2 \theta \\ \Gamma^\theta_{r \theta} = \Gamma^\theta_{\theta r} = \frac{1}{r} \\ \Gamma^\theta_{\phi \phi} = -sin\theta...
  2. flaticus

    What are the non-zero Christoffel symbols for 2D polar coordinates?

    Ahh, I see was just looking at christoffel equation while doing derivatives in head and forgot to carry the negative. Thank you.
  3. flaticus

    What are the non-zero Christoffel symbols for 2D polar coordinates?

    Just started self teaching myself differential geometry and tried to find the christoffel symbols of the second kind for 2d polar coordinates. I am checking to see if I did everything correctly. With a line element of: therefore the metric should be: The christoffel symbols of the second kind...
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