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

摘要

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.