dilate 发表于 2025-3-21 17:56:23

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intuition 发表于 2025-3-21 21:39:15

General Features of Spacetimes. As the metric is non-degenerate, there can be no zero eigenvalues. This statement is independent of coordinate system chosen. The actual numerical values of eigenvalues of the tensor matrix may vary from one coordinate system to another but the number of eigenvalues of positive sign and of negative sign is the same.

MEN 发表于 2025-3-22 00:46:41

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夹死提手势 发表于 2025-3-22 04:38:57

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变白 发表于 2025-3-22 08:59:58

Introductionlopments. According to the theory spacetime is a Riemannian space whose metric .. determines the gravitational field.. The .. governs the gravitational field. In this equation the quantities .., . are functions of the metric .. and its various derivatives and .. on the right-hand side are determined

胡言乱语 发表于 2025-3-22 15:39:25

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维持 发表于 2025-3-22 18:41:49

Elementary Differential Geometryw chapters we develop the necessary background with emphasis on tools necessary for a physicist. This introduction is not rigorous from a mathematician’s point of view. We would assume that these manifolds have all the nice mathematical properties (Hausdorff nature, paracompactness etc.) which are n

披肩 发表于 2025-3-22 23:26:54

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民间传说 发表于 2025-3-23 02:52:45

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哑剧 发表于 2025-3-23 07:29:27

Weak Gravitational Fieldsredictions which are startling. For example a spherical mass rotating slowly about an axis will “drag inertial frames” so that the spin of a gyroscope far from the mass will precess. Another prediction of the general theory of relativity is that perturbations of the metric . propagate as waves.
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查看完整版本: Titlebook: Spacetime, Geometry and Gravitation; Pankaj Sharan Textbook 2009 Birkhäuser Basel 2009 Christoffel symbol.Friedman equation.Gravity.Kerr s