Classification of certain asymptotically AdS space-times with Ricci-flat boundary
arXiv:1511.05107 · doi:10.1007/JHEP12(2016)126
Abstract
We classify solutions to Einstein's equations in AdS with Ricci-flat boundary metric and with covariantly constant boundary stress tensor, which in general is not diagonalizable, i.e. it does not admit a reference frame. New solutions are found, and in the context of the AdS/CFT duality they should describe a boundary QFT in certain non-equilibrium steady states. Further imposing the absence of scalar curvature singularities leads to a subset of metrics that can be seen as null deformations of AdS or of the AdS soliton. We also outline the procedure of solving the equations when a scalar is coupled to the metric, which holographically leads to non-Lorentz-invariant RG flows.
30 pages; v2: two references added, typos corrected, some explanations improved; v.3: title changed, minor modifications of the abstract, improved introduction of secs. II and V, three references added, two typos corrected (published version)