Numerical metric extraction in AdS/CFT
High Energy Physics - Theory
2008-11-26 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.0705.0159,
title = {Numerical metric extraction in AdS/CFT},
author = {John Hammersley},
journal= {arXiv preprint arXiv:0705.0159},
year = {2008}
}