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, Wolfgang Rindler.

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

"Reprinted with corrections 1986"--Title page verso

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781316140697, 1316140695, 9780511564048, 051156404X
  • oclc:ocn882261931
  • LC Classification:QC173.59.S65
  • Dewey Decimal:530.11

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 Be…

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Subjects

SCIENCE -- Energy SCIENCE -- Mechanics SCIENCE -- Physics Space and time Spinor analysis

Writers

Penrose, Roger Rindler, Wolfgang

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