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
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.
Subjects
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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