Free massless particle Dirac like wave equations of any spin in curved space-time

We derived Dirac like equations for massless particles of any spin in a global curved space-time. In an axially symmetric space-time the wave functions factorize in two parts. A spin-connection independent function which resembles the solution in a flat space-time, and a second spin connection dependent function which is calculated analytically for static Friedman-Robertson-Walker and Schwarzschild metrics.