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.
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Glorioso, P. Classification of certain asymptotically AdS space-times with Ricci-flat boundary. J. High Energ. Phys. 2016, 126 (2016). https://doi.org/10.1007/JHEP12(2016)126
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DOI: https://doi.org/10.1007/JHEP12(2016)126