A theory of gravitation with a flat background metric and a dynamical
variable phi (variable gravitational constant) is investigated. It is
shown that such bimetric scalar-tensor theory (BSTT) generalized GR as
all the solutions of GR equations and phi(x) = constant satisfy BSTT
equations, firstly, and BSTT equations contain non-Einstein solutions
with the variable phi, secondly. Due to this fact, the problem on the
agreement of BSTT with the observational data is reduced to the proble
m on the agreement of GR with the observational data and to the interp
retation of the solutions with the variable phi. The latter may prove
useful for the prediction of new effects. Examples of such effects are
discussed.