点此进入淘宝搜索页搜索　　參考價格: 点此进入淘宝搜索页搜索
　　分類: 图书,自然科学,物理学,理论物理学,

作者： （英）彭罗斯 著

出 版 社： 世界图书出版公司

出版时间： 2009-1-1字数：版次： 1页数： 457印刷时间：开本： 24开印次：纸张：I S B N ： 9787506291743包装： 平装内容简介

This book is the first to present a comprehensive development of space-time geometry using the 2-spinor formalism. There are also several other new features in our presentation. One of these is the systematic and consistent use of the abstract index approach to tensor and spinor calculus. We hope that the purist differential geometer who casually leafs through the book will not automatically be put off by the appearance of numerous indices. Except for the occasional bold-face upright ones, our indices differ from the more usual ones in being abstract markers without reference to any basis or coordinate system. Our use of abstract indices leads to a number of simplifications over conventional treatments.

目录

Preface

1 The geometry of world-vectors and spin-vectors

1.1 M inkowski 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 ofspinor 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 on a manifold

2.5 Spinor algebra

3 Spinors and worid-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 ofspinors

4.5 Differentiation ofspinor components

4.6 The curvature spinors

4.7 Spinor formulation of the Einstein-Cartan-Sciama-Kibble theory

4.8 The Weyl tensor and the BeI-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

 

 

免责声明：本文为网络用户发布，其观点仅代表作者个人观点，与本站无关，本站仅提供信息存储服务。文中陈述内容未经本站证实，其真实性、完整性、及时性本站不作任何保证或承诺，请读者仅作参考，并请自行核实相关内容。