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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 Γjk i is assumed for the space and a Hamiltonian function is defined in terms of gij and Γjk i. By means of a variational principle in which the gij and Γjk i are allowed to vary independently the field equations are obtained and can be written

(0.1)

(0.2)

(0.3)

(0.4)

Information

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