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A geometrical relationship for the Einstein and Ricci tensors

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Abstract

Components of the Ricci and Einstein tensors are expressed in terms of the Gaussian curvatures of elementary two-spaces formed by the orthogonal coordinate planes, and the results are applied to some standard metrics.

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References

  1. J. L. Synge and A. Schild,Tensor Calculus (University of Toronto Press, 1962), p. 95.

  2. C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (W. H. Freeman, San Francisco, 1973), p. 344.

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  3. G. C. McVittie,General Relativity and Cosmology (University of Illinois Press, 1965), p. 59.

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Authors and Affiliations

  1. Department of Mathematics, Carleton University, Ottawa, Canada

    D. W. Sida

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  1. D. W. Sida
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Sida, D.W. A geometrical relationship for the Einstein and Ricci tensors. Found Phys 6, 477–483 (1976). https://doi.org/10.1007/BF00715036

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  • DOI: https://doi.org/10.1007/BF00715036

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