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Title: The Stretched Horizon

Abstract: We will study the theory of general relativity in the presence of a timelike boundary that is parametrically close to a (non-degenerate) event horizon. We will focus on the case where the boundary is subject to conformal boundary conditions in which the conformal class of the metric and the trace of the extrinsic curvature are kept fixed at the boundary. At the linearised level, we will show the existence of soft and fluid-like modes, which are indicative of certain local structure at the boundary.