Exact Attractive Non-BPS STU Black Holes

TL;DR

This paper constructs exact solutions for non-BPS STU black holes, revealing their properties and potential multi-center configurations, which may resolve issues related to their stability.

Contribution

It provides explicit solutions for moduli, metric, and vectors of non-BPS black holes, and explores the existence of multi-center attractors.

Findings

Exact solutions for non-BPS black hole moduli and metric.

Identification of a spherically-symmetric attractor with specific D-brane charges.

Conjecture on multi-center attractors potentially resolving stability issues.

Abstract

We develop some properties of the non-BPS attractive STU black hole. Our principle result is the construction of exact solutions for the moduli, the metric and the vectors in terms of appropriate harmonic functions. In addition, we find a spherically-symmetric attractor carrying $p^0$ ($D6$ brane) and $q_a$ ($D2$ brane) charges by solving the non-BPS attractor equation (which we present in a particularly compact form) and by minimizing an effective black hole potential. Finally, we make an argument for the existence of multi-center attractors and conjecture that if such solutions exist they may provide a resolution to the existence of apparently unstable non-BPS ``attractors.''