Normal coordinates based on curved tangent space

Hari K, Dawood Kothawala

Riemann normal coordinates (RNC) at a regular event $p_0$ of a spacetime manifold $\mathcal{M}$ are constructed by imposing: (i) $g_{\text{ab}}{|}_{p_0}={\eta }_{ab}$, and (ii) $Γ^\texts…