Black Droplets

TL;DR

This paper numerically constructs black droplet solutions in holography for a CFT on a Schwarzschild background, revealing two solution branches and suggesting the non-existence of equilibrium black droplets, with implications for dual states.

Contribution

It introduces numerical black droplet solutions for a CFT on Schwarzschild background and analyzes their properties, providing insights into the dual gravitational states.

Findings

Two branches of black droplet solutions meet at a turning point.

The equilibrium black droplet solution likely does not exist.

Holographic stress energy tensor matches perturbation theory asymptotics.

Abstract

Black droplets and black funnels are gravitational duals to states of a large N, strongly coupled CFT on a fixed black hole background. We numerically construct black droplets corresponding to a CFT on a Schwarzchild background with finite asymptotic temperature. We find two branches of such droplet solutions which meet at a turning point. Our results suggest that the equilibrium black droplet solution does not exist, which would imply that the Hartle-Hawking state in this system is dual to the black funnel constructed in \cite{Santos:2012he}. We also compute the holographic stress energy tensor and match its asymptotic behaviour to perturbation theory.