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We compute the holographic stress tensor and the logarithmic energy-momentumtensor of Einstein-Weyl gravity at the critical point. This computation iscarried out performing a holographic expansion in a bulk action supplemented bythe Gauss-Bonnet term with a fixed coupling. The renormalization scheme definedby the addition of this topological term has the remarkable feature that allEinstein modes are identically cancelled both from the action and itsvariation. Thus, what remains comes from a nonvanishing Bach tensor, whichaccounts for non-Einstein modes associated to logarithmic terms which appear inthe expansion of the metric. In particular, we compute the holographic$1$-point functions for a generic boundary geometric source.

Holographic correlation functions in Critical Gravity