Evidence that highly non-uniform black strings have a conical waist

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages. v2 : minor changes, to be published in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/20/15/315

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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