Some structural features induced by the space-time metrical fluctuation in the theory of gravitational fields
Under the assumption that the so-called space-time fluctuation y(x) in a classical sense, attached to each point of the gravitational field at some microscopic stage, is summarized as the metrical fluctuation in the form g/sub lambdakappa/(x) = g/sub lambdakappa/(x) x exp 2sigma(y(x)), some new physical aspects induced by the conformal scalar sigma(x) (equivalent sigma(y(x))) are found: By introducing the torsion T-bar/sup kappa//sub lambdamu/(x) from a general standpoint, the resulting micro-gravitational field is made to have a conformally non-Riemannian structure, where a special form of T-bar/sup kappa//sub lambdamu/ (i.e., T-bar/sup kappa//sub lambdamu/ = delta/sup kappa//sub lambda/sigma/sub ..mu../-delta/sup kappa//sub ..mu../sigma/sub lambda/(sigma/sub ..mu../ = partialsigma/partialx/sup ..mu../)) shows some peculiar features. An averaging process with respect to y is taken into account, by which the spatial structure of the corresponding macro-field is shown, in general, to have a somewhat ''non''-Riemannian structure due to the contributions of the torsion T-bar/sup kappa//sub lambdamu/.
- Research Organization:
- Department of Mechanical Engineering, Faculty of Science and Technology, Science University of Tokyo, Noda, Chiba 278, Japan
- OSTI ID:
- 5635563
- Journal Information:
- Found. Phys.; (United States), Vol. 13:6
- Country of Publication:
- United States
- Language:
- English
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