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Penrose's Singularity Theorem for Black Hole
The Singularity Theorems say that as long as you have certain energy conditions being obeyed, then you will get a singularity. They do not assume any symmetries or anything like that. There are computational attempts at understanding it, but you don't know exactly what does happen. Paul Conti: You're not going to be surprised if my answer here is 'no'