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

2004/01/23 by Lee C. Loveridge, Loveridge, Lee C.
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.gr-qc/0401099

openalex publication_date 2004/01/23 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

Various interpretations of the Riemann Curvature Tensor, Ricci Tensor, and Scalar Curvature are described. Also, the physical meanings of the Einstein Tensor and Einstein's Equations are discussed. Finally a derivation of Newtonian Gravity from Einstein's Equations is given.

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