Physical and Geometric Interpretations of the Riemann Tensor, Ricci Tensor, and Scalar Curvature — mentioned by raattgift

Thu, 24 Oct 2024 11:48:02 GMT

The area of the Sun and the Earth and every other self-gravitating body in hydrostatic equilibrium is also proportional to the body's mass. Volumes are weird though: unlike area, relativistic volume can depend on the body's (and the spacetime's) history and composition rather than just the body's mass. In general the spatial volumes inside massive bodies in curved spacetime are larger than in Euclidean-Newtonian space. The volume deviation is carried in the Ricci tensor https://en.wikipedia.org/wiki/Ricci_curvature#Direct_geometr... http://arxiv.org/pdf/gr-qc/0401099v1 (section 5.2)…

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Physical and Geometric Interpretations of the Riemann Tensor, Ricci Tensor, and Scalar Curvature · HackerPapers discussions

Physical and Geometric Interpretations of the Riemann Tensor, Ricci Tensor, and Scalar Curvature — mentioned by raattgift