  Solutions of massless spin-2 field equations are written in terms of massless
spin-$\frac{3}{2}$ Rarita-Schwinger fields and twistor spinors. It is shown
that the proposed massless spin-2 fields satisfy the tracelessness and
divergencelessness conditions and are in the kernel of the Laplace-Beltrami
operator. A spin lowering procedure for special cases and a symmetry operator
for massless spin-2 fields are also obtained. Description of massless spin-2
fields in terms of lower spin fields are found.
