Black Tunnels and Hammocks

Abstract

We construct the holographic duals to a large $N$, strongly coupled $\mathcal{N}=4$ super Yang-Mills conformal field theory defined on a four-dimensional de Sitter-Schwarzschild background. There are two distinct five-dimensional bulk solutions. One, named the black tunnel, is static and possesses two disconnected horizons. The other, the black hammock, contains only one horizon in the bulk. The hammock horizon is not a Killing horizon, and hence possesses interesting properties, such as non-vanishing expansion and shear, as well as allowing classical flow along it. The DeTurck method was used in order to attain the black tunnel solutions, whilst the black hammocks were found in Bondi-Sachs gauge.

45 pages, 13 figures

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