T. Christodoulakis et al., EXACT-SOLUTIONS TO THE DIRAC-EQUATION FOR NEUTRINOS PROPAGATING IN A PARTICULAR VAIDYA BACKGROUND, Journal of mathematical physics, 35(5), 1994, pp. 2430-2437
In this work the Dirac equation for massless left-handed neutrinos has
been set up for the Vaidya background which describes the exterior of
a spherically symmetric radiating source. With a particular Ansatz fo
r the form of both the spinor and the background metric, analytical so
lutions of the Dirac equation are obtained. The coordinates in which t
he particular Vaidya metric assumes diagonal form are also found.