How hairy can a black ring be?

TL;DR

This paper investigates a broad class of supersymmetric solutions in five-dimensional supergravity, revealing that most lack smooth horizons and thus do not serve as examples of black objects with infinite 'hair' complexity.

Contribution

It demonstrates that despite the generality of these solutions, the majority do not possess smooth event horizons, limiting their role as models of 'hairy' black objects.

Findings

Most solutions lack smooth event horizons

These solutions do not exhibit infinite 'hair' complexity

Limits the scope of supersymmetric black ring generalizations

Abstract

It has been shown recently that there is a large class of supersymmetric solutions of five-dimensional supergravity which generalize the supersymmetric black ring solution of Elvang et al. This class involves arbitrary functions. We show that most of these solutions do not have smooth event horizons, so they do not provide examples of black objects with infinite amounts of "hair".