Black funnels and droplets from the AdS C-metrics

TL;DR

This paper explores new AdS black hole solutions called black funnels and droplets, constructed from the AdS C-metric, to understand strongly coupled field theories in black hole backgrounds.

Contribution

It introduces a broad class of black funnel and droplet solutions from the AdS C-metric, expanding the understanding of dual field theories on compact universes.

Findings

Constructed various black funnel and droplet solutions.

Linked solutions to strongly and weakly coupled black holes.

Analyzed dual field theories on compact universes.

Abstract

We recently argued that the dynamics of strongly coupled field theories in black hole backgrounds is related via the AdS/CFT correspondence to two new classes of AdS black hole solutions: black funnels, and black droplets suspended above a second disconnected horizon. The funnel solutions are dual to black holes coupling strongly to a field theory plasma. In contrast, the droplet solutions describe black holes coupling only weakly. We continue our investigation of these solutions and construct a wide variety of examples from the AdS C-metric in four bulk spacetime dimensions. The solutions we find are dual to field theories on spatially compact universes with Killing horizons.