GRAVITATIONAL EFFECTS ON THE NEUTRINO OSCILLATION

The propagation of neutrinos in a gravitational field is studied. A me thod of calculating a covariant quantum-mechanical phase in a curved s pace-time is presented. The result is used to calculate gravitational effects on the neutrino oscillation in the presence of a gravitational field. We restrict our discussion to the case of the Schwarzschild me tric. Specifically, the cases of the radial propagation and the nonrad ial propagation are considered. A possible application to gravitationa l lensing of neutrinos is also suggested.