More Bubbling Solutions

TL;DR

This paper constructs new families of smooth, horizonless five-dimensional supergravity solutions with multiple bubbles, extending known bubbling solutions and exploring their physical properties and potential connections to black hole microstates.

Contribution

It introduces a method to generate multi-bubble solutions by lifting multi-center BPS states and analyzing their properties, broadening the landscape of known supergravity configurations.

Findings

Solutions are asymptotically flat and horizonless.

They include known bubbling solutions as a special case.

Properties like charges, shape, and absence of CTCs are analyzed.

Abstract

In this note we construct families of asymptotically flat, smooth, horizonless solutions with a large number of non-trivial two-cycles (bubbles) of N=1 five-dimensional supergravity with an arbitrary number of vector multiplets, which may or may not have the charges of a macroscopic black hole and which contain the known bubbling solutions as a sub-family. We do this by lifting various multi-center BPS states of type IIA compactified on Calabi-Yau three-folds and taking the decompactification (M-theory) limit. We also analyse various properties of these solutions, including the conserved charges, the shape, especially the (absence of) throat and closed timelike curves, and relate them to the various properties of the four-dimensional BPS states. We finish by briefly commenting on their degeneracies and their possible relations to the fuzzball proposal of Mathur et al.