  Neutrino physics in one of the most active fields of research with important
implications for particle physics, cosmology and astrophysics. On the other
hand, motivated by some theories including string theory, formulation of
physical theories in more than four space-time dimensions has been the subject
of increasing attention in recent years. Interaction of neutrinos with
gravitational fields is one of the interesting phenomena which can lead to
transition between different helicity states (spin oscillations). We study
neutrino spin oscillations in Schwarzschild and RN backgrounds in higher
dimensional gravitational fields. We calculate the transition probability as a
function of time and also study the dependence of the oscillation frequency on
the orbital radius. The results help us to better understand the behavior of
gravity and neutrinos in higher dimensions.
