Massless Fermions in anisotropic Bianchi type I spacetimes

The behavior of spin - 1/2 - particles in anisotropic Bianchi type I backgrounds is investigated utilizing the concept of differential forms and orthonormal frames. Specializing to the massless case and power law scale factors ${\alpha }_j(t)=t^{q_j}$ of the metric where $q_1=q_2$, an analytical outcome for the time evolution operator in terms of Bessel functions is presented.