Recent content by flaticus
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Graduate 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...- flaticus
- Post #11
- Forum: Special and General Relativity
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Graduate 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.- flaticus
- Post #3
- Forum: Special and General Relativity
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Graduate 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...- flaticus
- Thread
- Coordinates Metric Polar Polar coordinates
- Replies: 10
- Forum: Special and General Relativity