Weyl spinor and solution of massless free field equations (Q1580717)

The author studies massless field equations for arbitrary spin on a curved spacetime by considering in detail the cosmological models of Robertson-Walker (RW), and the Lemaitre-Tolman-Bondi (LTB). The Newman-Penrose method of spin-coefficients is employed to formulate these equations, and the equations are explicitly solved for \(\operatorname {spin} 3/2\) and 2. It is argued that these results may be extended for the case of arbitrary spin. Contents includes: an introduction; the RW spacetime; the LTB spacetime and the Weyl spinor; the LTB spacetime and the \(s= 3/2\) equation; the LTB spacetime and the \(s=2\) equation; the LTB spacetime and generalizations.