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Appendix: Regge-Wheeler Harmonics

\begin{eqnarray*} (\hat{e}_1)^{lm} &=& \left( \begin{array}{ccc} 0 & -\frac{1}{... ...phi\phi}+ \sin\theta \cos\theta Y_{lm,\theta} \end{array}\right) \end{eqnarray*}