Multi-Centered Black Hole Flows

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.

17 pages,no figures

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Cited by in corpus (4)

• Rotating black holes, global symmetry and first order formalism
• non-BPS walls of marginal stability
• Multi-Centered First Order Formalism
• Multi-Centered Invariants, Plethysm and Grassmannians