Multi-Center non-BPS Black Holes - the Solution

TL;DR

This paper constructs explicit multi-center, non-supersymmetric black hole solutions in four dimensions, involving complex arrangements of black rings and a rotating black hole, with detailed conditions for their positions and interactions.

Contribution

It introduces a new class of non-BPS multi-center solutions with rotating black holes and black rings, expanding the understanding of non-supersymmetric black hole configurations.

Findings

Explicit multi-center non-BPS solutions with rotation.

Derivation of bubble equations for center positions.

Existence of scaling solutions with non-zero angular momentum.

Abstract

We construct multi-center, non-supersymmetric four-dimensional solutions describing a rotating anti-D6-D2 black hole and an arbitrary number of D4-D2-D0 black holes in a line. These solutions correspond to an arbitrary number of extremal non-BPS black rings in a Taub-NUT space with a rotating three-charge black hole in the middle. The positions of the centers are determined by solving a set of "bubble" or "integrability" equations that contain cubic polynomials of the inter-center distance, and that allow scaling solutions even when the total four-dimensional angular momentum of the scaling centers is non-zero.