# Neutrino spin oscillations in gravitational fields

*S.A. Alavi*^{1}, S.F. Hosseini^{2}

(1) Department of Physics, Hakim Sabzevari University, P. O. Box 397, Sabzevar, Iran

(2) Education management organization, Quds city, P. O. Box 1187613911, Tehran, Iran

### Abstract

We study neutrino spin oscillations in black hole backgrounds. In the case of a charged black hole, the maximum frequency of oscillations is a monotonically increasing function of the charge. For a rotating black hole, the maximum frequency decreases with increasing angular momentum. In both cases, the frequency of spin oscillations decreases as the distance from the black hole grows. As a phenomenological application of our results, we study a simple bipolar neutrino system which is an interesting example of collective neutrino oscillations. We show that the precession frequency of the flavor pendulum as a function of the neutrino number density will be higher for a charged non-rotating black hole as compared with a neutral rotating one.

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