Multi-black rings and the phase diagram of higher-dimensional black holes

TL;DR

This paper studies the configurations and phase structure of multiple concentric black rings in higher-dimensional black holes, using approximate and exact methods to refine the phase diagram and understand their thermodynamic properties.

Contribution

It introduces the possibility of multiple black rings with equal temperature and angular velocity, improving the phase diagram of higher-dimensional black holes.

Findings

Multiple black rings can have equal temperature and angular velocity.

Refined phase diagram for singly-rotating black holes in dimensions D≥6.

Exact methods applied in five dimensions to analyze black ring configurations.

Abstract

Configurations of multiple concentric black rings play an important role in determining the pattern of branchings, connections and mergers between different phases of higher-dimensional black holes. We examine them using both approximate and (in five dimensions) exact methods. By identifying the role of the different scales in the system, we argue that it is possible to have multiple black ring configurations in which all the rings have equal temperature and angular velocity. This allows us to correct and improve in a simple, natural manner, an earlier proposal for the phase diagram of singly-rotating black holes in $D\geq 6$.