Neutrino oscillations in the field of a rotating deformed mass

The neutrino oscillations in the field of a rotating deformed mass is investigated. The phase shift is evaluated in the case of weak field limit, slow rotation and small deformation. To this aim the Hartle–Thorne metric is used, which is an approximate solution of the vacuum Einstein equations accurate to second order in the rotation parameter a/M$a/M$ and to first order in the mass quadrupole moment q. Implications on atmospheric, solar and astrophysical neutrinos are discussed.