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A Divergence-Free Antisymmetric Tensor

Published online by Cambridge University Press:  20 November 2018

B. O. J. Tupper
B. O. J. Tupper*
Affiliation:
University of new Brunswick, Fredericton new Brunswick
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Consider a Vn with metric tensor gαβ. It is well known that the only tensor containing derivatives of gαβno higher than the second order, linear in the second order derivatives, and having vanishing covariant divergence is the Einstein tensor

(1)

Suppose that a system of ennuple vectors hiαand their inverses hαi is set up at each point of the Vn.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 1 , March 1973 , pp. 111 - 113
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Kilmister, C.W., Alternative field equations in general relativity, Perspectives in Geometry and Relativity (Ed. Hoffmann, B.) Indiana Univ. Press, 1967.Google Scholar
2. Tupper, B.O.J. and Phillips, G.W., Kilmister’s alternative field equations in general relativity, J. of Phys. A (Gen. Phys.) 3 (1970), 149–165.Google Scholar
3. Tupper, B.O.J. and Phillips, G.W., Generalized field equations in general relativity, J. of Phys. A (Gen. Phys.) 4 (1971), 597–610.Google Scholar