Spinors and space-time

Spinors and space-time

by Penrose, Roger

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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.

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Title Statements

  • Full title :Spinors and space-time. / Roger Penrose, Rouse Ball Professor of Mathematics, University of Oxford, Wolfgang Rindler, Professor of Physics, University of Texas at Dallas.

Summary

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.

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Edition Statements

  • Publication Date:1984.

Publication Statements

Notes

4.13 Cartan's method

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781316143230, 1316143236, 9780511938580, 0511938586, 1316138941, 9781316138946, 0511867662, 9780511867668, 1316139565, 9781316139561, 1316140695, 9781316140697, 9780511564048, 051156404X
  • oclc:on1162057892
  • LC Classification:QA433
  • Dewey Decimal:530.11/0151563

Table of Contents

Cover; Half-title; Title; Copyright; Contents; Preface; 1 The geometry of world-vectors and spin-vectors ; 1.1 Minkowski vector space ; 1.2 Null directions and spin transformations ; 1.3 Some properties of Lorentz transformations ; 1.4 Null flags and spin-vectors ; 1.5 Spinorial objects and spin structure

1.6 The geometry of spinor operations 2 Abstract indices and spinor algebra ; 2.1 Motivation for abstract-index approach ; 2.2 The abstract-index formalism for tensor algebra ; 2.3 Bases ; 2.4 The total reflexivity of 6* on a manifold ; 2.5 Spinor algebra

3 Spinors and world-tensors 3.1 World-tensors as spinors ; 3.2 Null flags and complex null vectors ; 3.3 Symmetry operations ; 3.4 Tensor representation of spinor operations ; 3.5 Simple propositions about tensors and spinors at a point ; 3.6 Lorentz transformations

4 Differentiation and curvature 4.1 Manifolds ; 4.2 Covariant derivative ; 4.3 Connection-independent derivatives ; 4.4 Differentiation of spinors ; 4.5 Differentiation of spinor components ; 4.6 The curvature spinors

4.7 Spinor formulation of the Einstein-Cartan-Sciama-Kibble theory 4.8 The Weyl tensor and the Bel-Robinson tensor ; 4.9 Spinor form of commutators…

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Subjects

Analyse spinorielle Géométrie différentielle Geometry, Differential Mathematical physics Physique mathématique Space and time Spinor analysis

Writers

Penrose, Roger Rindler, Wolfgang

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