publication . Preprint . 2004

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

Loveridge, Lee C.;
Open Access English
  • Published: 23 Jan 2004
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.
arXiv: Mathematics::Differential GeometryCondensed Matter::Quantum Gases
free text keywords: General Relativity and Quantum Cosmology
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[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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