Spin Coefficients & Lanczos Spinor

Abstract

If the covariant derivative of the spin-frame metric is zero, we show that this fact implies the existence of a spinor whose components in the dyad are the spin coefficients of the corresponding null tetrad. Besides, we exhibit the tensor associated to spinor via the Infeld-van der Waerden symbols (with the important participation of the Wünsch’s vectors), which generates a possible link between the Lanczos spinor and spinor.