The Foaming Three-Charge Black Hole

TL;DR

This paper constructs a vast class of smooth, horizonless geometries in five dimensions that share charges and angular momentum with a maximally-spinning three-charge black hole, providing insights into black hole microstates.

Contribution

It introduces a new set of microstate geometries using a Gibbons-Hawking base, expanding the understanding of black hole microstates and their relation to black rings.

Findings

Large set of smooth horizonless geometries found

Microstates of zero-entropy black rings identified

Entropy scales as Q^(1/2)

Abstract

We find a very large set of smooth horizonless geometries that have the same charges and angular momenta as the five-dimensional, maximally-spinning, three-charge, BPS black hole (J^2 = Q^3). Our solutions are constructed using a four-dimensional Gibbons-Hawking base space that has a very large number of two-cycles. The entropy of our solutions is proportional to Q^(1/2). In the same class of solutions we also find microstates corresponding to zero-entropy black rings, and these are related to the microstates of the black hole by continuous deformations.