Abstract
A generalized space with torsion and curvature, defined by a fundamental group, is constructed by starting from the necessity of introducing standards of length and time in gravitation theory. The field variables coincide with the coefficients ɛ μi of the infinitesimal operator of the group. It is shown that the structural equations of the group depend on the transformation properties of the object to which they are applied. The simplest equations that the ɛ μi can satisfy are given.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 40–47, December, 1970.
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Ketsaris, A.A. Lie groups and gravitation theory. Soviet Physics Journal 13, 1584–1590 (1970). https://doi.org/10.1007/BF00820111
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DOI: https://doi.org/10.1007/BF00820111