| Description |
1 online resource |
| Series |
Cambridge monographs on mathematical physics |
|
Cambridge monographs on mathematical physics.
|
| 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 -- 4.10 Spinor form of the Bianchi identity -- 4.11 Curvature spinors and spin-coefficients -- 4.12 Compacted spin-coefficient formalism -- 4.13 Cartan's method -- 4.14 Applications to 2-surfaces -- 4.15 Spin-weighted spherical harmonics -- 5 Fields in space-time -- 5.1 The electromagnetic field and its derivative operator |
|
5.2 Einstein-Maxwell equations in spinor form -- 5.3 The Rainich conditions -- 5.4 Vector bundles -- 5.5 Yang-Mills fields -- 5.6 Conformal rescalings -- 5.7 Massless fields -- 5.8 Consistency conditions -- 5.9 Conformal invariance of various field quantities -- 5.10 Exact sets of fields -- 5.11 Initial data on a light cone -- 5.12 Explicit field integrals -- Appendix: diagrammatic notation -- References -- Subject and author index -- Index of symbols |
| 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 |
| Notes |
"Reprinted with corrections 1986"--Title page verso |
| Bibliography |
Includes bibliographical references (pages 435-443) and index |
| Notes |
Online resource; title from digital title page (viewed on December 13, 2019) |
| Subject |
Space and time.
|
|
Spinor analysis.
|
|
SCIENCE -- Energy.
|
|
SCIENCE -- Mechanics -- General.
|
|
SCIENCE -- Physics -- General.
|
|
Space and time
|
|
Spinor analysis
|
| Form |
Electronic book
|
| Author |
Rindler, Wolfgang, 1924- author.
|
| ISBN |
9781316140697 |
|
1316140695 |
|
9780511564048 |
|
051156404X |
|
