



01465nas a2200145   4500008004100000245006900041210006900110260001300179520101400192100001401206700001701220700002501237700002001262856003701282       2019                        eng d00aTowards Bulk Metric Reconstruction from Extremal Area Variations0 aTowards Bulk Metric Reconstruction from Extremal Area Variations  c04/09/193 a<p>The Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulae suggest that bulk geometry emerges from the entanglement structure of the boundary theory. Using these formulae, we build on a result of Alexakis, Balehowsky, and Nachman to show that in four bulk dimensions, the entanglement entropies of boundary regions of disk topology uniquely fix the bulk metric in any region foliated by the corresponding HRT surfaces. More generally, for a bulk of any dimension , knowledge of the (variations of the) areas of two-dimensional boundary-anchored extremal surfaces of disk topology uniquely fixes the bulk metric wherever these surfaces reach. This result is covariant and not reliant on any symmetry assumptions; its applicability thus includes regions of strong dynamical gravity such as the early-time interior of black holes formed from collapse. While we only show uniqueness of the metric, the approach we present provides a clear path towards an\textit {explicit} spacetime metric reconstruction.</p>1 aBao, Ning1 aCao, ChunJun1 aFischetti, Sebastian1 aKeeler, Cynthia  uhttps://arxiv.org/abs/1904.04834