Neutrino oscillation in Weitzenbock space-time

In the framework of the teleparallel equivalent of general relativity, we o btain the evolution equation of the neutrino oscillation in vacuum. A compa rison, with the equivalent result of general relativity case, shows that; t he Dirac equation in Riemann and Weitzenbock space-times is equivalent in t he spherical symmetric Schwarzschild spacetime, but turns out to be differe nt in the case of the axial symmetry.