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Violation of the Equivalence Principle (VEP) can lead to neutrino oscillationthrough the non-diagonal coupling of neutrino flavor eigenstates with thegravitational field. The neutrino energy dependence of this oscillationprobability is different from that of the usual mass-mixing neutrinooscillations. In this work we explore, in detail, the viability of the VEPhypothesis as a solution to the solar neutrino problem in a two generationscenario with both the active and sterile neutrino alternatives, choosing thesestates to be massless. To obtain the best-fit values of the oscillationparameters we perform a chi square analysis for the total rates of solarneutrinos seen at the Chlorine (Homestake), Gallium (Gallex and SAGE),Kamiokande, and SuperKamiokande (SK) experiments. We find that the goodness ofthese fits is never satisfactory. It markedly improves, especially for VEPtransformation to sterile neutrinos, if the Chlorine result is excluded fromthe analysis. The 1117-day SK data for recoil electron spectrum are alsoexamined for signals of VEP oscillations. For these fits, we considervariations of the Standard Solar Model by allowing the absolute normalizationsof the 8B and hep neutrinos to vary. Here the fits are quite good but the bestfit values of the parameters are rather different from those from the totalrates fits. A combined fit to the total rates and recoil electron spectrum datais also performed. We present the 90% confidence limit contours for all thethree analyses mentioned above. The best-fit parameters obtained from therecoil electron spectrum and the combined analysis of rate and spectrum areused to predict the charge current and scattering electron spectrum at SNO.Comment: Latex, minor changes in text and in fig.4 and fig.5, to be published  in Phys. Rev.

Solar neutrino results and violation of the equivalence principle: An analysis of the existing data and predictions for SNO