  We consider the hypothesis that neutrino oscillation data can be explained if
the gravitational couplings of (massless or degenerate mass) neutrinos are
flavour non--diagonal, in violation of the equivalence principle. We analyze
the various neutrino oscillation laboratory experimental data including the
recent LSND observations to constrain the relevant parameter space. We find
that there is no allowed region of parameter space which can explain the
existing data, implying that the LSND result cannot be explained by
oscillations of degenerate-mass neutrinos due to equivalence principle
violations.
