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arXiv · 1511.05107

Classification of certain asymptotically AdS space-times with Ricci-flat boundary

Paolo Glorioso
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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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Paolo Glorioso. 2017-01-27. Classification of certain asymptotically AdS space-times with Ricci-flat boundary. https://doi.org/10.1007/jhep12(2016)126

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