Bicycling Black Rings

TL;DR

This paper analyzes two 4+1-dimensional black hole solutions with spin, introducing a new bi-ring configuration and exploring their extremal limits, phase diagrams, and non-uniqueness in higher-dimensional gravity.

Contribution

It constructs a new bi-ring black hole solution using inverse scattering and analyzes the phase space of zero-temperature black holes, highlighting non-uniqueness.

Findings

Introduction of the bi-ring black hole solution.

Phase diagram of zero-temperature black holes.

Discussion of non-uniqueness in higher dimensions.

Abstract

We present detailed physics analyses of two different 4+1-dimensional asymptotically flat vacuum black hole solutions with spin in two independent planes: the doubly spinning black ring and the bicycling black ring system ("bi-rings"). The latter is a new solution describing two concentric orthogonal rotating black rings which we construct using the inverse scattering technique. We focus particularly on extremal zero-temperature limits of the solutions. We construct the phase diagram of currently known zero-temperature vacuum black hole solutions with a single event horizon, and discuss the non-uniqueness introduced by more exotic black hole configurations such as bi-rings and multi-ring saturns.