Phys. Rev. D 77, 044044 (2008) [6 pages]Are there four-dimensional small black rings?Received 26 November 2007; published 27 February 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.044044
DOI:
10.1103/PhysRevD.77.044044
PACS:
04.70.Dy, 04.65.+e, 04.70.Bw
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