Γ ν ρ μ = 1 2 g μ α ( ∂ ρ g α ν + ∂ ν g α ρ − ∂ α g ν ρ ) {\displaystyle \Gamma _{\nu \rho }^{\mu }={\frac {1}{2}}{g^{\mu \alpha }}\left({{\partial _{\rho }}{g_{\alpha \nu }}+{\partial _{\nu }}{g_{\alpha \rho }}-{\partial _{\alpha }}{g_{\nu \rho }}}\right)}