Numerical metric extraction in AdS/CFT
arXiv:0705.0159 · doi:10.1007/s10714-007-0564-6
Abstract
An iterative method for recovering the bulk information in asymptotically AdS spacetimes is presented. We consider zero energy spacelike geodesics and their relation to the entanglement entropy in three dimensions to determine the metric in certain symmetric cases. A number of comparisons are made with an alternative extraction method presented in arXiv:hep-th/0609202, and the two methods are then combined to allow metric recovery in the most general type of static, spherically symmetric setups. We conclude by extracting the mass and density profiles for a toy model example of a gas of radiation in (2+1)-dimensional AdS.
38 pages, 16 figures; v2 reference added, minor corrections; v3 some changes to method and appendices, new sections added on validating the solutions and extensions to less symmetric cases, version accepted for publication in General Relativity and Gravitation
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- Disentangling the gravity dual of Yang-Mills theory
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