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Bernard Kelly edited BYGeneral.tex
about 10 years ago
Commit id: c5e90e72fb32620dde0246bb146012de958a327f
deletions | additions
diff --git a/BYGeneral.tex b/BYGeneral.tex
index f3116f4..e416398 100644
--- a/BYGeneral.tex
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where the conformal extrinsic curvature contains angular- and/ linear-momentum terms:
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\begin{align}
\label{eq:by_K_P_S}
\hat{K}_{i j} &= \frac{3}{r^3}\left[ \epsilon_{k i m} \, S^m \, n^k \, n_j + \epsilon_{k j m} \, S^m \, n^k \, n_i \right] \nonumber \\
& + \frac{3}{2 r^2}\left[ P_i \, n_j + P_j \, n_i - (\delta_{i j} - n_i \, n_j ) P^k \, n_k \right]
\label{eq:by_K_P_S} \\
& \mp \frac{3 a^2}{2 r^4}\left[ P_i \, n_j + P_j \, n_i + (\delta_{i j} - 5 n_i \, n_j) P^k \, n_k \right] \nonumber,
\end{align}
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