Splitting hairs of the three charge black hole

TL;DR

This paper constructs large radius supertube and black ring solutions with three charges, demonstrating they share supersymmetry properties and pass nontrivial tests, thus modeling the hair of three charge black holes and rings.

Contribution

It provides explicit large radius solutions for three charge supertubes and black rings, confirming their supersymmetry and physical consistency as black hole hair models.

Findings

Solutions reproduce properties of three charge supertubes

Solutions pass nontrivial consistency tests

Supports the black hole hair hypothesis for three charge systems

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.