Multi-Centered Black Hole Flows

TL;DR

This paper develops a unified first-order formalism for multi-centered black holes in the T^3 model of N=2 supergravity, analyzing various classes and solutions, and exploring the potential for new solutions.

Contribution

It introduces a systematic first-order framework for multi-centered black holes, unifying known solutions and identifying new subclasses within the almost-BPS category.

Findings

Unified description of BPS, non-BPS, and almost-BPS flows.

Recovery of known single and multi-centered black hole solutions.

Identification of two sub-classes within the almost-BPS solutions.

Abstract

We describe the systematical construction of the first order formalism for multi-centered black holes with flat three dimensional base-space, within the so-called $T^{3}$ model of N=2, D=4 ungauged Maxwell-Einstein supergravity. The three possible flow classes (BPS, composite non-BPS and almost-BPS) are analyzed in detail, and various solutions, such as single-centered (static or under-rotating) and all known multi-centered black holes, are recovered in this unified framework. We also consider the possibility of obtaining new solutions. The almost-BPS class is proved to split into two general sub-classes, corresponding to a positive or negative value of the duality-invariant polynomial for the total charge; the well known almost BPS system is shown to be a particular solution of the second sub-class.