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An outstanding question lying at the core of the AdS/CFT correspondence instring theory is the holographic prescription problem for Einstein metrics,which asserts that one can slightly perturb the conformal geometry at infinityof the anti-de Sitter space and still obtain an asymptotically anti-de Sitterspacetime that satisfies the Einstein equations with a negative cosmologicalconstant. The purpose of this paper is to address this question by providing aprecise quantitative statement of the real-time holographic principle forEinstein spacetimes, to outline its proof and to discuss its physicalimplications.

Determining an asymptotically AdS spacetime from data on its conformal boundary