Are There Four-Dimensional Small Black Rings?
arXiv:0710.4139 · doi:10.1103/PhysRevD.77.044044
Abstract
In d>4 dimensions, one can argue for the existence of small black rings using a scaling argument. We apply the same scaling argument to the d=4 case and demonstrate that it fails to say anything about the existence of d=4 small black rings, because stringy corrections get out of control. General relativity theorems say that there does not exist a black hole with toroidal topology for d=4, but we interpret this as saying that, for d=4 small black rings, stringy corrections are crucial which invalidate the assumptions those theorems are based on.
12 pages. v2: references added
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