Despite the EFE as written containing the inverse of the metric tensor, they can be arranged in a form that contains the metric tensor in polynomial form and without its inverse. First, the determinant of the metric in 4 dimensions can be written det ( g ) = 1 24 ε ε α α β β γ γ δ δ ε ε κ κ λ λ μ μ ν ν g α α κ κ g β β λ λ g γ γ μ μ g δ δ ν ν using the Levi-Civita symbol ; and the inverse of the metric in 4 dimensions can be written as: g α α κ κ = 1 6 ε ε α α β β γ γ δ δ ε ε κ κ λ λ μ μ ν ν g β β λ λ g γ γ μ μ g δ δ ν ν det ( g ) .