deletions | additions       diff --git a/and_the_extrinsic_cu.tex b/and_the_extrinsic_cu.tex  deleted file mode 100644  index 9297c9a..0000000  --- a/and_the_extrinsic_cu.tex  +++ /dev/null 
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and the extrinsic curvature is:  K_{q q} & = & - \frac{M \left[ 2 M q^2 \rho + \gamma R^2 q^2 + \rho R ( q^2 - 2 Z^2 ) \right]}{ R^4 \sqrt{R^4 + 2 M R \rho^2}}\\  K_{q z} & = & - \frac{M q \left[ 2 M \rho \zeta + 3 \gamma^2 Z q^2 + \gamma ( 3 Z^2 + r^2 ) \zeta \right]}{ R^4 \sqrt{R^4 + 2 M R \rho^2}}\\  K_{\phi \phi} & = & \frac{2 M q^2 \rho}{R \sqrt{R^4 + 2 M R \rho^2}}\\  K_{z z} & = & \frac{M\left[ (R - 2 M) \rho \zeta^2 - R \left( R \gamma \zeta^2 + 2 \gamma R \rho^2 - 4 q^2 \gamma^2 \rho \right) \right]}{ R^4 \sqrt{R^4 + 2 M R \rho^2}}\\  diff --git a/layout.md b/layout.md  index d450e89..bb749d9 100644  --- a/layout.md  +++ b/layout.md 
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the_lapse_function_i.tex  brace_left_beta_q_.tex  the_shift_vector_is.tex  and_the_extrinsic_cu.tex  brace_left_gamma_i_j.tex