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 [1]. We also compute the holographic stress energy tensor and match its asymptotic behaviour to perturbation theory.
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Santos, J.E., Way, B. Black droplets. J. High Energ. Phys. 2014, 72 (2014). https://doi.org/10.1007/JHEP08(2014)072
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DOI: https://doi.org/10.1007/JHEP08(2014)072