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update: auto commit

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Yingjie Wang
2026-04-10 01:22:07 -04:00
parent cfe7cb0878
commit 620e55f360
1 changed files with 1 additions and 2 deletions
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@@ -735,8 +735,7 @@ $}
\frac{1}{3} \smetric*{^i^j} \Partial{_j} \left( 2 \hat{K} + \Theta
\right) - 8 \pi \smetric*{^i^j} \tensor{S}{_j} \right] +
\smetric*{^j^k} \Partial{_j} \dshift{^i_k} + \frac{1}{3}
\smetric*{^i^j} \Partial{_j} \dshift{^k_k} \notag\\
& {} + \shift{^j} \Partial{_j} \Gam*{^i} - \Gamd*{^j} \dshift{^i_j}
\smetric*{^i^j} \Partial{_j} \dshift{^k_k} + \shift{^j} \Partial{_j} \Gam*{^i} - \Gamd*{^j} \dshift{^i_j}
+ \frac{2}{3} \Gamd*{^i} \dshift{^j_j} - 2 \lapse \kappa_1 \left[
\Gam*{^i} - \Gamd*{^i} \right], \\
\pt \Theta ={} & \frac{1}{2} \lapse \left[ \Rscalar - \Ktf*{_i_j}