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ds2=r2 dθ2+11+r2sin2(θ) dϕ2ds^2 = r^2 \, d\theta^2 + \dfrac{1}{1+r^2} \sin^2 (\theta) \, d\phi^2ds2=r2dθ2+1+r21sin2(θ)dϕ2
A strange metric on a sphere of radius rrr is given by the invariant interval described above.
Compute the Christoffel symbol Γϕθϕ\large \Gamma^{\phi}_{\phi \theta}Γϕθϕ.
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