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Evidence that highly non-uniform black strings have a conical waist
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Numerical methods have allowed the construction of vacuum non-uniform strings. For sufficient non-uniformity, the local geometry about the minimal horizon sphere (the "waist") was conjectured to be a cone metric. We are able to test this conjecture explicitly giving strong evidence in favour of it. We also show how to extend the conjecture to weakly charged strings.
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Cited by 1 Pith paper
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String Theory in a Pinch: Resolving the Gregory-Laflamme Singularity
Near-Hagedorn string solutions show that in five and six spacetime dimensions, the Gregory-Laflamme pinch halts at a stable stringy neck that slowly evaporates, avoiding a naked singularity.
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