时空与几何(英文版)

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内容简介

这本书旨在让读者清晰明了地接触广义相对论,广义相对论的引入,从大爆炸到黑洞,这样很容易激起读者对物理学的浓厚兴趣。附录了大量的数学材料来帮助读者理解正文,而且附录的很多部分本身也是独立完整的。

目录

1 Special Relativity and Flat Spacetime 1.1 Prelude 1.2 Space and Time.Separately and Together 1.3 Lorentz Trartsformationr/> 1.4 Vectorr/> 1.5 Dual Vectors (One FOrnmr/> 1.6 Tensorr/> 1.7 Manipulating Tensorr/> 1.8 Maxwell’S Equationr/> 1.9 Energy and Momentum 1.10 Classical Field Theory 1.11 Exerciser/>2 ManifoIdr/> 2.1 Gravity as Geometry 2.2 WhatIs aManifold 2.3 Vectors Again 2.4 Tensors Again 2.5 111eMetric 2.6 An Expanding Univerr/> 2.7 Causality 2.8 Tensor Densitier/> 2.9 Difierential ForillS 2.10 Integration 2.11 Exerciser/>3 Curvature 3.1 0verview 3.2 Covariant Derivativer/> 3.3 Parallel Transport and Geodesicr/> 3.4 Properties of Geodesicr/> 3.5 1he Expanding Universe Revisited 3.6 111e Riemann Curvature Tensor 3.7 Properties of the Riemann Tensor 3.8 Symmetries and Killing Vectorr/> 3.9 Maximally Symmetric Spacer/> 3.10 Geodesic Deviation 3.11 Exerciser/>4 Gravitation 4.1 Physics in Curved Spacetime 4.2 Einstein’S Equation 4.3 Lagrangian Formulation 4.4 Properties of Einstein’S Equation 4.5 The Cosmological Constant 4.6 Energy Conditionr/> 4.7 The Equivalence Principle Revisited 4.8 Alternative Theorier/> 4.9 Exerciser/>5 The Schwarzsch Ud Sol ution 5.1 1he Schwarzschild Metric 5.2 Birkhoff’S Theorem 5.3 Singularitier/> 5.4 Geodesics of Schwarzschild 5.5 Experimental Testr/> 5.6 Schwarzschild Black Holer/> 5.7 111e Maximally Extended Schwarzschild Solution 5.8 Stars and Black Holer/> 5.9 Exerciser/>6 More GeneraI Black Holer/> 6.1 111e Black Hole Zoo 6.2 Event Horizonr/> 6.3 Killing Horizonr/> 6.4 Mass.Charge.and Spin 6.5 Charged(Reissner NordstrOm)Black Holer/> 6.6 Rotating(Kerr)Black Holer/> 6.7 111e Penrose Process and Black.Hole Thermodynamicr/> 6.8 Exerciser/> 7 Perturbation Theory and GravitationaI Radiation 7.1 Linearized Gravity and Gauge Transformationr/> 7.2 Degrees of Freedom 7.3 Newtonian Fields and Photon Trajectorier/> 7.4 Gravitational Wave Solutionr/> 7.5 Production of Gravitational Waver/> 7.6 Energy Loss Due to Gravitational Radiation 7.7 Detection of Gravitational Waver/> 7.8 Exerciser/> 8 Cosmology 8.1 Maximally Symmetric Universer/> 8.2 Robertson Walker MetriCS 8.3 The Friedmann Equation 8.4 Evolution of the Scale Factor 8.5 Redshifts and Distancer/> 8.6 Gravitational Lensing 8.7 Our Univerr/> 8.8 Inflation 8.9 Exerciser/> 9 Quantum Field Theory in Curved Spacetime 9.1 Introduction 9.2 Quantum Mechanicr/> 9.3 Quantum Field Theory in Flat Spacetime 9.4 Quantum Field Theory in Curved Spacetime 9.5 TheUnruhEffect 9.6 ne Ha Effect and Black Hole EvaporationAPPENDIXES A Mapetween Manifoldr/> B Diffeomorphisms and Lie Derivativer/> C Subman ifoIdr/> D Hypersurfacer/> E Stokes's Iheorem F Geodesic Congruencer/> G ConformaI Transformationr/> H Conformal Diagramr/> I The Parallel Propagator J N0nc00rdinate baser/>Bibliographylndex

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