deletions | additions       diff --git a/itemize_item_the_threemetric.tex b/itemize_item_the_threemetric.tex  deleted file mode 100644  index f44832e..0000000  --- a/itemize_item_the_threemetric.tex  +++ /dev/null 
...
\begin{itemize}  \item the three-metric determinant: $| \gamma | = 1 + \frac{2M}{R}$,  \item the three-Christoffel symbol: $\Gamma^i_{j k} = \frac{2 M x^i}{R^2 ( R + 2 M)} \left( \delta_{j k} - \frac{3 x_j x_k}{2 R^2} \right)$,  \item the mixed-index extrinsic curvature: $K^i_{\,\,j} = \frac{2M}{\sqrt{R^{3}\, (R+2M)}}\left( \delta^i_{\,\,j } - \frac{2R + 3M}{R + 2M}\frac{x^i x_j}{R^2}\right)$,  \item the three-Ricci tensor: $R_{i j} = \frac{M ( R + 4 M ) }{ R^2 ( R + 2 M )^2 } \delta_{i j} - \frac{ M ( 3 R + 8 M ) x_i x_j } {R^4 ( R + 2 M )^2 }$,  \item the three-Ricci scalar: $R \equiv \gamma^{m n} R_{m n} = \frac{ 8 M^2 }{ R^2 ( R + 2 M ) ^2 }$,  \item the trace-free extrinsic curvature: $A_{i j} \equiv K_{i j} - \frac{K}{3} = \frac{2M (2R + 3M)}{3 \sqrt{R^3 (R + 2M)^3}} \left[ \delta_{i j} - \frac{3R + 4M}{R} \frac{x_i x_j}{R^2} \right]$,  \item the electric tensor (\ref{eq:NP_elec_def}): $E_{i j} = - \frac{M}{R^3} \delta_{i j} + \frac{M (3 R + 4 M)}{R^6} x_i x_j$.  \end{itemize}  diff --git a/layout.md b/layout.md  index c2d4273..5dd980b 100644  --- a/layout.md  +++ b/layout.md 
...
K_q_q__.tex  brace_ds2left_1_.tex  In_Cartesian_coordin.tex  itemize_item_the_threemetric.tex  brace_ds2__left.tex  In_Cartesian_coordin.tex  We_can_write_down.tex