# Comments on Black Holes in Bubbling Spacetimes

## TL;DR

This paper explores novel five-dimensional supersymmetric black hole solutions with nontrivial topology, showing they can have higher entropy than known solutions and can transition into nonsingular bubbling geometries.

## Contribution

It introduces new black hole solutions with greater entropy and demonstrates their connection to bubbling geometries within five-dimensional supergravity.

## Key findings

- Some black holes have higher entropy than BMPV.
- Black holes can shrink to form nonsingular bubbling geometries.
- Solutions provide explicit examples of black holes inside solitons.

## Abstract

In five-dimensional minimal supergravity, there are spherical black holes with nontrivial topology outside the horizon which have the same conserved charges at infinity as the BMPV solution. We show that some of these black holes have greater entropy than the BMPV solution. These spacetimes are all asymptotically flat, stationary, and supersymmetric. We also show that there is a limit in which the black hole shrinks to zero size and the solution becomes a nonsingular "bubbling" geometry. Thus, these solutions provide explicit analytic examples of placing black holes inside solitons.