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Unified Field Theory

Published online by Cambridge University Press:  20 November 2018

Max Wyman
Max Wyman*
Affiliation:
University of Alberta
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Introduction. In a recent unified theory originated by Einstein and Straus [l], the gravitational and electromagnetic fields are represented by a single nonsymmetric tensor gy which is a function of four coordinates xr(r = 1, 2, 3, 4). In addition a non-symmetric linear connection Γjki is assumed for the space and a Hamiltonian function is defined in terms of gij and Γjki. By means of a variational principle in which the gij and Γjki are allowed to vary independently the field equations are obtained and can be written

(0.1)

(0.2)

(0.3)

(0.4)

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 2 , 1950 , pp. 427 - 439
Copyright
Copyright © Canadian Mathematical Society 1950

References

[1] Einstein, A. and Straus, E. G., A generalization of the Relativistic Theory of Gravitation II, Ann. of Math., vol. 47 (1946), 731–741.Google Scholar
[2] Papapetrou, A., Static spherically symmetric solutions in the unitary field theory, Proc. Royal Irish Acad., vol. A52 (1948), 69–96.Google Scholar