Black Funnels

TL;DR

This paper constructs and analyzes black funnel solutions in holography, providing insights into the dual description of thermal states of strongly coupled field theories on black hole backgrounds.

Contribution

It introduces explicit black funnel solutions dual to the Hartle-Hawking state on Schwarzschild and other black hole backgrounds, and assesses their stability.

Findings

Constructed explicit black funnel solutions.

Computed holographic stress tensor for these solutions.

Argued for the stability of the solutions.

Abstract

The Hartle-Hawking state of $\mathcal{N}=4$ SYM at strong coupling and large $N$ on a fixed black hole background has two proposed gravitational duals: a black funnel or a black droplet. We construct the black funnel solutions that are dual to the Hartle-Hawking state on a Schwarzschild black hole and on a class of three-dimensional asymptotically flat black hole backgrounds. We compute their holographic stress tensor and argue for the stability of these solutions.