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\begin{equation}
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\psi = \sum_{i=1}^N \frac{M_i}{2|\myvec{r}-\myvec{r}_i|} + (\text{regular part}),
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\end{equation}
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again, if we factor out the conformal factor $\psi$, the remaining conformal metric is regular everywhere.
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again, if we factor out the conformal factor $\psi^4$, the remaining conformal metric $\tensor{\tilde{\gamma}}{_i_j}$ is regular everywhere.
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\end{frame}
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\begin{frame}{Methods on evolving black holes: moving puncture}
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