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並前往http://astro.dur.ac.uk/~done/gr/l7.pdf

paths in φ 3.11 Easier Christoffel Symbols and geodesic pathss

we know that for a sphere the only non-zero christoffel symbols are Γθ φφ = −sin θ cosθ, and Γ φ θφ = Γφ φθ = cot θ. Geodesic paths satisfy the equation.

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