In 3+1 dimensional general relativity, all black holes must be topologically equivalent to a sphere. However in 4+1 dimensional gravity, this isn't the case, there Torus shaped black holes are possible. Can someone explain intuitively why "black rings" are possible in 4+1 dimensional gravity? I think I get my it's possible, any my explanation is dues to the fact that in 4+1 dimensional gravity, the event horizon should be proportional to the Square root of the mass, but I'm not sure how accurate I am.
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1I give an intuitive argument in my Phys.SE answer here. – Qmechanic Aug 16 '23 at 12:19
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It doesn't really answer the question. – blademan9999 Aug 31 '23 at 08:16
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Consider to elaborate why. – Qmechanic Aug 31 '23 at 08:25
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I want to know why they are possible in 4+1d, and the explanation there, doesn't really help me. – blademan9999 Aug 31 '23 at 11:24