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

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Loveridge, Lee C.;
  • Subject:
    arxiv: General Relativity and Quantum Cosmology | Condensed Matter::Quantum Gases | Mathematics::Differential Geometry

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 g... View more
  • References (3)

    [1] M. Nakahara, Geometry, Topology, and Physics, (Institute of Physics Publishing, 1996), Chapter 7.

    [2] C. Misner, K. Thorne, J. Wheeler, Gravitation, (W.H. Freeman and Company, 1973), Box 14.1, pg. 335-340.

    [3] R.M. Wald, General Relativity, (The University of Chicago Press, 1984).

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