I study neutrino oscillations driven by a plane gravitational wave. First, I consider neutrino spin oscillations in this gravitational background. I derive the covariant equation for the neutrino spin evolution in a magnetic field and background matter in curved space-time. Then I discuss a particular situation when a neutrino interacts with matter, a transverse magnetic field and a gravitational wave. I demonstrate that a parametric resonance can appear in this system. Some astrophysical applications are discussed.
Then I turn to the consideration of neutrino flavor oscillations in a gravitational wave. I derive the effective Hamiltonian for neutrino oscillations. Then I study the situation when the stochastic gravitational waves background is present. The equation for the density matrix evolution is derived and solved both analytically (in the two flavors approximation) and numerically (for the general case of three neutrino flavors). I predict a specific flavor content of low energy neutrinos at a detector. Some applications for measurements of cosmic neutrinos are considered.
1. M. Dvornikov, Neutrino spin oscillations in external fields in curved spacetime, Phys. Rev. D 99, 116021 (2019), arXiv:1902.11285.
2. M. Dvornikov, Neutrino flavor oscillations in stochastic gravitational waves, arXiv:1906.06167.