Black Funnels
arXiv:1208.6291 · doi:10.1007/JHEP12(2012)060
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.
21 pages, 9 figures; v2: corrected typos, added clarifications, version appears on JHEP