Inserting tanh((r-r_h)/delta) into the inverse radial BTZ metric produces a black bounce whose throat sits exactly at an extremal null horizon, with no Lorentzian-to-Riemannian signature change.
Taken at face value in that chart this suggests a turning point, but the chart is singular there and the inf erence is not legitimate; the question must be settled in (6)
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A smooth BTZ black bounce with an extremal null throat
Inserting tanh((r-r_h)/delta) into the inverse radial BTZ metric produces a black bounce whose throat sits exactly at an extremal null horizon, with no Lorentzian-to-Riemannian signature change.