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Neutrino oscillations in gravitational and cosmological backgrounds
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We use the eikonal approximation in order to calculate the additional phase shift between two neutrino mass eigenstates during their propagation in a background of gravitational wave or scalar perturbations in the flat and the FRW spacetime metric. We comment on the dependence of the results on the characteristics of the perturbations, give some order-of-magnitude estimates, and find that, although small, the resulting phase difference persists for large redshifts, up to the validity of our approximations.
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Effects of gravitational lensing on neutrino oscillation in Hu-Sawicki f(R) gravity
Neutrino oscillation probabilities from lensed paths in Hu-Sawicki f(R) gravity are derived, showing sensitivity to λ and to neutrino mass parameters.
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