  Violation of the Equivalence Principle (VEP) can lead to neutrino oscillation
through the non-diagonal coupling of neutrino flavor eigenstates with the
gravitational field. The neutrino energy dependence of this oscillation
probability is different from that of the usual mass-mixing neutrino
oscillations. In this work we explore, in detail, the viability of the VEP
hypothesis as a solution to the solar neutrino problem in a two generation
scenario with both the active and sterile neutrino alternatives, choosing these
states to be massless. To obtain the best-fit values of the oscillation
parameters we perform a chi square analysis for the total rates of solar
neutrinos seen at the Chlorine (Homestake), Gallium (Gallex and SAGE),
Kamiokande, and SuperKamiokande (SK) experiments. We find that the goodness of
these fits is never satisfactory. It markedly improves, especially for VEP
transformation to sterile neutrinos, if the Chlorine result is excluded from
the analysis. The 1117-day SK data for recoil electron spectrum are also
examined for signals of VEP oscillations. For these fits, we consider
variations of the Standard Solar Model by allowing the absolute normalizations
of the 8B and hep neutrinos to vary. Here the fits are quite good but the best
fit values of the parameters are rather different from those from the total
rates fits. A combined fit to the total rates and recoil electron spectrum data
is also performed. We present the 90% confidence limit contours for all the
three analyses mentioned above. The best-fit parameters obtained from the
recoil electron spectrum and the combined analysis of rate and spectrum are
used to predict the charge current and scattering electron spectrum at SNO.
