General Concentric Black Rings

TL;DR

This work constructs new supersymmetric, asymptotically flat, multi-concentric black ring solutions in five-dimensional supergravity with an arbitrary number of vector multiplets by employing a time-like Killing vector and a Gibbons-Hawking base. The solutions are fully specified by harmonic data on $\mathbb{R}^3$, yielding horizons with topology $S^1 \times S^2$ and, in the near-horizon limit, a product $AdS_3 \times S^2$ structure; the horizon area depends on the asymptotic moduli only through angular-momentum differences, illustrating a moduli-insensitive near-horizon geometry. The paper provides explicit constructions for the three-charge STU model, analyzes the near-horizon behavior, dipole charges, and angular momenta, and discusses regularity and absence of horizon CTCs, as well as potential uplifts and extensions to more general scalar manifolds. These results generalize prior single-ring constructions to configurations with multiple concentric rings, offering new avenues for microstate counting and the study of string-theoretic embeddings of multi-ring systems.

Abstract

Supersymmetric black ring solutions of five dimensional supergravity coupled to an arbitrary number of vector multiplets are constructed. The solutions are asymptotically flat and describe configurations of concentric black rings which have regular horizons with topology $S^1 \times S^2$ and no closed time-like curves at the horizons.