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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.

Geometry, Differential. --- Mathematical physics. --- Space and time. --- Spinor analysis. --- Spinor analysis --- Geometry, Differential --- Mathematical physics --- Space and time --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- Physical mathematics --- Physics --- Differential geometry --- Calculus of spinors --- Spinor calculus --- Spinors, Theory of --- Algebra --- Wave mechanics --- Calculus of tensors --- Vector analysis --- Mathematics --- Analyse spinorielle --- Espace et temps --- Géométrie différentielle --- Physique mathématique --- Geometry --- Theory of relativity. Unified field theory --- Space-time model