Black Rings in (Anti)-deSitter space

TL;DR

This paper constructs and analyzes thin black ring solutions in Anti-deSitter and deSitter spacetimes, exploring their properties, bounds, and implications for dual theories, with a focus on their size, rotation, and stability.

Contribution

It introduces approximate solutions for thin black rings in (A)dS spaces, including large-radius rings in AdS and rings in deSitter, and discusses their physical properties and dual implications.

Findings

Black rings in AdS can have arbitrarily large radius.

Black rings in AdS satisfy a bound |J| ≤ LM, saturating at infinite radius.

Thin black rings in deSitter have radii below the Hubble radius.

Abstract

We construct solutions for thin black rings in Anti-deSitter and deSitter spacetimes using approximate methods. Black rings in AdS exist with arbitrarily large radius and satisfy a bound |J| \leq LM, which they saturate as their radius becomes infinitely large. For angular momentum near the maximum, they have larger area than rotating AdS black holes. Thin black rings also exist in deSitter space, with rotation velocities varying between zero and a maximum, and with a radius that is always strictly below the Hubble radius. Our general analysis allows us to include black Saturns as well, which we discuss briefly. We present a simple physical argument why supersymmetric AdS black rings must not be expected: they do not possess the necessary pressure to balance the AdS potential. We discuss the possible existence or absence of `large AdS black rings' and their implications for a dual hydrodynamic description. An analysis of the physical properties of rotating AdS black holes is also included.