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We know that, the singularity of the Schwarzschild metric at $r=2M$ can be removable via coordinate transformation to Kruskal-Szekers . Can we apply a similar argument to the Kerr metric? If so, what's the name of this coordinate system?

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    $\begingroup$ There are uncountably infinitely many different such coordinate systems. I described one example in the second half of this answer. $\endgroup$ – Chiral Anomaly Jun 9 at 0:09

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