I've read about Schwarzschild and Kerr metric, I confused about the spacelike singularity(occur in non-rotating metric) and timelike singularity (Kerr, RN).(adsbygoogle = window.adsbygoogle || []).push({});

In Schwarzschild case, when we cross and event horizon [tex]r=2M[/tex] metric component switch sign between time and radial component of metric tensor. That cause to the unavoidable trip to the singularity at [tex]r=0[/tex] when cross the event horizon. But In the Kerr black hole, There is a timelike singularity which one can avoid to reach the "ring singularity" of Kerr metric.

My question is, What is Timelike and Spacelike singularity? What is the different between them?

How can I physically interpret the significant of sign switching of [tex]g_{tt}[/tex] when across the particular surface?

PS , for Schwarzschild this surface appears once at event horizon, however, for the Kerr metric the sign has changed twices, i.e. Infinite redshift surface [tex]S^{\pm}[/tex]

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# Spacelike and Timelike singuralites

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