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Answer by Ryan Unger for In the orthonormal tetrad method, what is the...
I will use the notation $\theta^i$ for the dual basis since $\omega$ is reserved for another important form. Since $\mathrm{d}\theta^i$ is a 2-form, we may expand it in the basis $\theta^i$...
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If $\omega_i$ are dual basis one forms corresponding to an orthonormal tetrad basis $e_i$, and given that the commutation coefficients $C_{ij}^k$ are defined by\begin{equation}[e_i,e_j]=C_{ij}^k...
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