Penrose R., Rindler W. Spinors and Space-Time. Volume 2. Spinor and Twistor Methods in Space-Time Geometry

Cambridge University Press, 1986 — 509 pp. — (Cambridge Monographs on Mathematical Physics). — ISBN: 0521347866 (Paperback) 05212526719 (Hardback).Spinor and Twistor Methods in Space-Time Geometry introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. Twistors have, in recent years, attracted increasing attention as a mathematical tool and as a means of gaining new insights into the structure of physical laws. This volume also includes a comprehensive treatment of the conformal approach to space-time infinity with results on general-relativistic mass and angular momentum, a detailed spinorial classification of the full space-time curvature tensor, and an account of the geometry of null geodesics.Twistors
Null congruences
Classification of curvature tensors
Conformal infinity