"Gauge" freedom and relationship between the Einstein and Jordan   conformal frames
  The issue of the physical equivalence between the Einstein and Jordan conformal frames in Jordan-Brans-Dicke (JBD) theory is revised. Scalar-tensor theories equations are not invariant with respect to conformal transformations if one uses the same "gauge" fixing in Jordan and Einstein frames. We hope to have clarified some eventual obscure issues associated to the concept of conformal invariance of relativistic theories appearing in the literature, in particular the relationship between Jordan and Einstein frames. 
Sergey M. Kozyrev, Rinat A. Daishev
physics.gen-ph