Conformal anomalies and the Einstein Field Equations
  We compute corrections to the Einstein field equations which are induced by the anomalous effective actions associated to the type A conformal anomaly, both for the (non-local) Riegert action, as well as for the local action with dilaton. In all cases considered we find that these corrections can be very large. 
Hadi Godazgar, Krzysztof A. Meissner, Hermann Nicolai
hep-th