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\begin{frame}{Methods on evolving black holes: moving puncture}
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\begin{frame}{Methods on evolving black holes: moving puncture}
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In the moving puncture method, we won't cut out the black hole singularity, but choose a gauge condition that makes the singularity invisible to the numerical evolution.
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% In the moving puncture method, we won't cut out the black hole singularity, but choose a gauge condition that makes the singularity invisible to the numerical evolution.
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\begin{figure}
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\begin{figure}
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\centering
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\centering
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\includegraphics[width=0.7\textwidth, trim=4bp 4bp 4bp 4bp, clip]{imgs/moving_puncture_penrose_1.png}
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\includegraphics[width=0.7\textwidth, trim=4bp 4bp 4bp 4bp, clip]{imgs/moving_puncture_penrose_1.png}
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