广义相对论与牛顿引力理论基础

　　在《广义相对论与牛顿引力理论基础》中，作者介绍了广义相对论的基本逻辑数学结构，并讨论广义相对论的基础及其与牛顿引力理论的关系，比如牛顿理论的几何化（也称为牛顿-卡坦理论）、广义相对论中的旋转概念和哥德尔时空等。此书不仅适合数学物理的学生与研究者阅读，对科学哲学的研究人员也有很大价值。本书获得了2014年拉卡托斯奖。 \n

　　大卫·马尔门特（David B. Malament）是美国加州大学欧文分校的教授，对科学哲学有深入的研究，他著的《广义相对论与牛顿引力理论基础》获得了2014年拉卡托斯奖。

Chapter 1. Differential Geometry

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1.1 Manifolds

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1.2 Tangent Vectors

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1.3 Vector Fields, Integral Curves, and Flows

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1.4 Tensors and Tensor Fields on Manifolds

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1.5 The Action of Smooth Maps on Tensor Fields

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1.6 Lie Derivatives

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1.7 Derivative Operators and Geodesics

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1.8 Curvature

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1.9 Metrics

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1.10 Hypersurfaces

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1.11 Volume Elements

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Chapter 2. Classical Relativity Theory

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2.1 Relativistic Spacetimes

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2.2 Temporal Orientation and "Causal Connectibility"

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2.3 Proper Time

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2.4 Space/Time Decomposition at a Point and Particle Dynamics

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2.5 The Energy-Momentum Field Tab

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2.6 Electromagnetic Fields

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2.7 Einsteins Equation

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2.8 Fluid Flow

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2.9 Killing Fields and Conserved Quantities

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2.10 The Initial Value Formulation

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2.11 Friedmann Spacetimes

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Chapter 3. Special Topics

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3.1 Gödel Spacetime

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3.2 Two Criteria of Orbital (Non-)Rotation

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3.3 A No-Go Theorem about Orbital (Non-)Rotation

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Chapter 4. Newtonian Gravitation Theory

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4.1 Classical Spacetimes

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4.2 Geometrized Newtonian Theory—First Version

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4.3 Interpreting the Curvature Conditions

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4.4 A Solution to an Old Problem about Newtonian Cosmology

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4.5 Geometrized Newtonian Theory—Second Version

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