Non-BPS multi-bubble microstate geometries

TL;DR

This paper constructs smooth, horizonless supergravity solutions with multiple topologically nontrivial cycles that match the mass and charges of non-extremal D1-D5-P black holes, advancing the understanding of black hole microstates.

Contribution

It introduces the first multi-center, non-BPS microstate geometries with multiple cycles, supporting flux, and matching non-extremal black hole parameters.

Findings

Successfully added a Gibbons-Hawking center to lower angular momentum below the cosmic censorship bound.

Constructed solutions with two topologically nontrivial three-cycles supported by flux.

Demonstrated the possibility of multi-center horizonless solutions for non-extremal black holes.

Abstract

We construct the first smooth horizonless supergravity solutions that have two topologically-nontrivial three-cycles supported by flux, and that have the same mass and charges as a non-extremal D1-D5-P black hole. Our configurations are solutions to six-dimensional ungauged supergravity coupled to a tensor multiplet, and uplift to solutions of Type IIB supergravity. The solutions represent multi-center generalizations of the non-BPS solutions of Jejjala, Madden, Ross, and Titchener, which have over-rotating angular momenta. By adding an additional Gibbons-Hawking center, we succeed in lowering one of the two angular momenta below the cosmic censorship bound, and bringing the other very close to this bound. Our results demonstrate that it is possible to construct multi-center horizonless solutions corresponding to non-extremal black holes, and offer the prospect of ultimately establishing that finite-temperature black holes have nontrivial structure at the horizon.