Preface
Summary of Volume 1
6 Twistors
6.1 The twistor equation and its solution space
6.2 Some geometrical aspects of twistor algebra
6.3 Twistors and angular momentum
6.4 Symmetric twistors and massless fields
6.5 Conformai Killing vectors, conserved quantities and exact sequences
6.6 Lie derivatives of spinors
6.7 Particle constants; conformally invariant operators
6.8 Curvature and conformai rescaling
6.9 Local twistors
6.10 Massless fields and twistor cohomology
7 Null congruences
7.1 Null congruences and spin-coefficients
7.2 Null congruences and space-time curvature
7.3 Shear-free ray congruences
7.4 SFRs, twistors and ray geometry
8 Classification of curvature tensors
8.1 The null structure of the Weyl spinor
8.2 Representation of the Weyi spinor on S+
8.3 Eigenspinors of the Weyl spinor
8.4 The eigenbivectors of the Weyl tensor and its Petrov classification
8.5 Geometry and symmetry of the Weyl curvature
8.6 Curvature covariants
8.7 A classification scheme for general spinors
8.8 Classification of the Ricci spinor
9 Conformal infinity
9.1 Infinity for Minkowski space
9.2 Compactified Minkowski space
9.3 Complexified compactified Minkowski space and twistor geometry
9.4 Twistor four-valuedness and the Grgin index
9.5 Cosmological models and their twistors
9.6 Asymptotically simple space-times
9.7 Peeling properties
9.8 The BMS group and the structure of J+
9.9 Energy-momentum and angular momentum
9.10 Bondi-Sachs mass loss and positivity
Appendix: spinors in n dimensions
References
Subject and author index
Index of symbols
