Supersymmetric 4D Rotating Black Holes from 5D Black Rings

TL;DR

The paper demonstrates a mechanism to realize rotating supersymmetric configurations in four-dimensional asymptotically flat space by KK-reducing five-dimensional supersymmetric black rings wrapped on a Taub-NUT fiber, yielding a two-horizon, rotating BPS system without naked singularities. By carefully choosing harmonic data on a Gibbons-Hawking base and performing the dimensional reduction, the authors obtain a four-dimensional rotating black hole carrying KK electric and magnetic charges sourced by the ring and the nut, with angular momentum arising from crossed charges. The work analyzes the near-horizon AdS$_3\times$S$^2$ structure, nontrivial asymptotics, and CTC avoidance, and constructs a concrete rotating two-black-hole configuration (hole at the nut plus ring away from the nut) with a consistent BPS relation and smooth horizons. This establishes a controlled setting for rotating multi-black-hole solutions in 4D and hints at rich microscopic and multi-center dynamics in Taub-NUT backgrounds.

Abstract

We present supersymmetric solutions describing black holes with non-vanishing angular momentum in four dimensional asymptotically flat space. The solutions are obtained by Kaluza-Klein reduction of five-dimensional supersymmetric black rings wrapped on the fiber of a Taub-NUT space. We show that in the four-dimensional description the singularity of the nut can be hidden behind a regular black hole event horizon and thereby obtain an explicit example of a non-static multi-black hole solution in asymptotically flat four dimensions.