Spin and flavor oscillations of neutrinos in gravitational fields

We summarize our recent achievements in the description of neutrino oscillations in various gravitational fields. After the short review of the previous studies of neutrinos in gravitational fields, we consider the neutrinos propagation and oscillations in two gravitational backgrounds. First, we discuss neutrino spin oscillations in their gravitational scattering off a supermassive black hole surrounded by a thick magnetized accretion disk. Second, we study neutrino flavor oscillations in stochastic gravitational waves. We also consider applications of the obtained results for oscillations of astrophysical neutrinos.