Neutrino oscillations in Robertson-Walker space-time with torsion

The scheme proposed by Cardall and Fuller to study neutrino oscillation in curved space-time is applied to the Robertson-Walker space-tune with torsion. The radial neutrino oscillation is studied both in vacuum and in regions containing electrons. The influence of the cosmological background on the resonance and on the adiabaticity properties of neutrino oscillations are as well studied and explicitly calculated in case the Standard Cosmological model is assumed. The formalism developed for torsion-free neutrino propagation in matter is extended to describe the effect of torsion on neutrino oscillation in vacuum. As a result, resonance and nonadiabatic propagation seem a Priori possible for cosmological neutrino in vacuum with self-interaction produced by torsion.PACs 14. 60. Pq - Neutrino mass and mixing. PACS 95. 30. Sf - Relativity and gravitation. PACS 11.10. Lm - Nonlinear or nonlocal theories and models.