A Divergence-Free Antisymmetric Tensor
Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 111-113
Voir la notice de l'article provenant de la source Cambridge University Press
Consider a Vn with metric tensor gαβ . It is well known that the only tensor containing derivatives of gαβ no 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 hiα and their inverses hαi is set up at each point of the Vn .
Tupper, B. O. J. A Divergence-Free Antisymmetric Tensor. Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 111-113. doi: 10.4153/CMB-1973-021-8
@article{10_4153_CMB_1973_021_8,
author = {Tupper, B. O. J.},
title = {A {Divergence-Free} {Antisymmetric} {Tensor}},
journal = {Canadian mathematical bulletin},
pages = {111--113},
year = {1973},
volume = {16},
number = {1},
doi = {10.4153/CMB-1973-021-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-021-8/}
}
[1] 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] 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] 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
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