Penrose R., Rindler W. Spinors and Space-Time. Volume 1. Two-Spinor Calculus and Relativistic Fields

Cambridge University Press, 1984 — 472 pp. — (Cambridge Monographs on Mathematical Physics). — ISBN: 0521337070 (Paperback) 0521245273 (Hardback).This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time.The geometry of world-vectors and spin-vectors
Abstract indices and spinor algebra
Spinors and world-tensors
Differentiation and curvature
Fields in space-time