Spin Coefficients Formalism

Abstract

In this article, we study some differential aspects of the spinor and Newman-Penrose techniques. Particularly, we study the evolution of the null tetrad and the spin frame at each event of the space-time which permits the introduction of the spin and rotation coefficients. We then consider Lorentz transformation which leads to special rotations of the NP’s tetrad and spin frame and demonstrate the corresponding changes in the spin coefficients and in the NP components of Faraday, Ricci without trace, Lanczos and Weyl tensors.