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时空的大尺度结构 英文版PDF|Epub|txt|kindle电子书版本网盘下载
- （英）S·W·霍金（S.W.HAWKING），（南非）G·F·R·埃丽斯（G.F.R.ELLIS）著 著
- 出版社： 长沙：湖南科学技术出版社
- ISBN：7535745709
- 出版时间：2006
- 标注页数：391页
- 文件大小：99MB
- 文件页数：400页
- 主题词：时空－研究－英文
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图书目录
1 The role of gravity10
2 Differential geometry10
2.1 Manifolds11
2.2 Vectors and tensors15
2.3 Maps of manifolds22
2.4 Exterior differentiation and the Lie derivative24
2.5 Covariant differentiation and the curvature tensor30
2.6 The metric36
2.7 Hypersurfaces44
2.8 The volume element and Gauss' theorem47
2.9 Fibre bundles50
3 General Relativity56
3.1 The space-time manifold56
3.2 The matter fields59
3.3 Lagrangian formulation64
3.4 The field equations71
4 The physical significance of curvature78
4.1 Timelike curves78
4.2 Null curves86
4.3 Energy conditions88
4.4 Conjugate points96
4.5 Variation of arc-length102
5 Exact solutions117
5.1 Minkowski space-time118
5.2 De Sitter and anti-de Sitter space-times124
5.3 Robertson-Walker spaces134
5.4 Spatially homogeneous cosmological models142
5.5 The Schwarzschild and Reissner-Nordstr？m solutions149
5.6 The Kerr solution161
5.7 G？del's universe168
5.8 Taub-NUT space170
5.9 Further exact solutions178
6 Causal structure180
6.1 Orientability181
6.2 Causal curves182
6.3 Achronal boundaries186
6.4 Causality conditions189
6.5 Cauchy developments201
6.6 Global hyperbolicity206
6.7 The existence of geodesics213
6.8 The causal boundary of space-time217
6.9 Asymptotically simple spaces221
7 The Cauchy problem in General Relativity226
7.1 The nature of the problem227
7.2 The reduced Einstein equations228
7.3 The initial data231
7.4 Second order hyperbolic equations233
7.5 The existence and uniqueness of developments for the empty space Einstein equations244
7.6 The maximal development and stability249
7.7 The Einstein equations with matter254
8 Space-time singularities256
8.1 The definition of singularities256
8.2 Singularity theorems261
8.3 The description of singularities276
8.4 The character of the singularities284
8.5 Imprisoned incompleteness289
9 Gravitational collapse and black holes299
9.1 Stellar collapse299
9.2 Black holes308
9.3 The final state of black holes323
10 The initial singularity in the universe348
10.1 The expansion of the universe348
10.2 The nature and implications of singularities359
Appendix A:Translation of an essay by P.S.Laplace365
Appendix B:Spherically symmetric solutions and Birkhoff's theorem369
References373
Notation381
Index385