Non-BPS Floating Branes and Bubbling Geometries

TL;DR

This paper develops a linear ansatz for non-BPS solutions in string and M-theory, constructing various static, axially-symmetric geometries including black holes and bubbling solutions, revealing their physical properties and relations to BPS states.

Contribution

It introduces a new non-BPS linear ansatz using the charged Weyl formalism, enabling the construction of diverse non-extremal black hole and bubbling geometries with detailed analysis.

Findings

Smooth non-BPS geometries can mimic black hole charges and mass.

Examples show non-BPS solutions can scale towards BPS black holes.

Horizonless geometries can be smoothly resolved by non-extremality.

Abstract

We derive a non-BPS linear ansatz using the charged Weyl formalism in string and M-theory backgrounds. Generic solutions are static and axially-symmetric with an arbitrary number of non-BPS sources corresponding to various brane, momentum and KKm charges. Regular sources are either four-charge non-extremal black holes or smooth non-BPS bubbles. We construct several families such as chains of non-extremal black holes or smooth non-BPS bubbling geometries and study their physics. The smooth horizonless geometries can have the same mass and charges as non-extremal black holes. Furthermore, we find examples that scale towards the four-charge BPS black hole when the non-BPS parameters are taken to be small, but the horizon is smoothly resolved by adding a small amount of non-extremality.