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On the Curvature Tensor of Einstein's Generalized Theory of Gravitation

Published online by Cambridge University Press:  20 November 2018

K. W. Lamson
K. W. Lamson*
Affiliation:
College of Agriculture and Mechanic Arts Mayaguez, Puerto Rico
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Einstein, in his Generalized Theory of Gravitation [I], deals with a tensor

whose ninety-six independent components are complex-valued functions of four real variables xα. Schouten [4, p. 261 (89)] has decomposed the general relative tensor, antisymmetric in α, β, γ, and in ρ,σ, into five irreducible parts. This decomposition can be applied to the R of Einstein if we define the tensor v by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 297 - 300
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Einstein, A., Generalized theory of gravitation(Princeton, 1950), Appendix II: The meaning of relativity.Google Scholar
2. Littlewood, D. E., The theory of group characters (Oxford, 1940).Google Scholar
3. Rutherford, D. E., Substitional analysis (Edinburgh, 1948).Google Scholar
4. Schouten, J. A., Der Ricci-Kalkul (Berlin, 1924).Google Scholar
5. Weyl, H., The classical groups (Princeton, 1939).Google Scholar