Splitting hairs of the three charge black hole

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Abstract
We construct the large radius limit of the metric of three-charge supertubes and three-charge BPS black rings by using the fact that supertubes preserve the same supersymmetries as their component branes. Our solutions reproduce a few of the properties of three-charge supertubes found recently using the Born-Infeld description. Moreover, we find that these solutions pass a number of rather nontrivial tests which they should pass if they are to describe some of the hair of three-charge black holes and three-charge black rings.
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