Determining an asymptotically AdS Einstein spacetime from data on its conformal boundary

  • Alberto EncisoEmail author
  • Niky Kamran
Research Article


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


AdS metrics Holographic prescription Einstein equations AdS/CFT correspondence 



A.E. is supported by the ERC Starting Grant 633152 and thanks McGill University for hospitality and support. A.E.’s research is supported in part by the ICMAT Severo Ochoa Grant SEV-2011-0087 and the MINECO Grant FIS2011-22566. The research of N.K. is supported by NSERC Grant RGPIN 105490-2011.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Instituto de Ciencias MatemáticasConsejo Superior de Investigaciones CientíficasMadridSpain
  2. 2.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

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