Faraday Tensor & Maxwell Spinor (Part I)

Abstract

We realize an algebraic study of the spinors associated with real and Newman-Penrose tetrads in Minkowski space and obtain an adequate platform for the spinorial analysis of Faraday and energy-momentum tensors of the electromagnetic field. Maxwell spinor naturally appears in our approach.

Part I of this two-part article includes: 1. Introduction, 2. The Cartan spinor, and 3. Tetrads and their 2-spinors.