I have seen depictions of spinning black holes with the "singularity" spinning around a center of rotation in a flat plane, or moving around an imaginary sphere. Is there anything in the centre or was that poor visualization on the artist's side?
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$\begingroup$ Seen where and in what context? Do you mean a Ring singularity? $\endgroup$– TriatticusCommented May 16 at 19:06
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$\begingroup$ see the related video, the answer and animation $\endgroup$– YukterezCommented May 16 at 19:11
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$\begingroup$ I thought the math says the ring singularity is a portal to another universe $\endgroup$– RC_23Commented May 16 at 22:55
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$\begingroup$ Spinning black holes are fun to ponder, but they don’t exist. What exists is spinning collapsed stars, but they aren’t described by Kerr’s metric and don’t have singularities inside. $\endgroup$– safesphereCommented May 17 at 2:01
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There isn't anything in particular in the center. The black hole isn't orbiting, it is spinning (by which I mean it is rotating in and of itself). It is similar to how the Earth or a spinning top rotates about its axis: it isn't orbiting anything, just spinning.