Introduction To 2-spinors In General Relativity

A study of 2-spinors in general relativity, beginning by developing spinors in a geometrical way rather than using representation theory, which can be a little abstract. This should give the reader greater physical intuition into the way in which spinors behave. The author concentrates on the algebra and calculus of spinors connected with curved space-time. Many of the well-known tensor fields in general relativity are shown to have spinor counterparts. An analysis of the Lanczos spinor concludes the work, and some of the techniques so far encountered are applied to this. Exercises play an important role throughout and are given at the end of each chapter.