Theory of fiber bundle with local metric of internal space and gravitation with torsion |
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Authors: | Li Yuanjie |
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Institution: | (1) Department of Physics, Huazhong University of Science and Technology, 430074 Wuhan, China |
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Abstract: | In this paper we propose a new theory of a fiber bundle provided with a local metric of internal space. The fibers differ from usual fibers, having an enlarged factor. The enlargement may be procured by a differential mapping(x) from structure groupG to the fiberF
x atx M, and(x)R. The torsion presented stems from the local metric of internal space and the local metric stems from a induced mapping
*(x) of(x). From the theory we can get the Brans-Dicke theory with torsion. If we assume the spin density of the gauge field determines the enlarged factor of the fiberF
x, our theory is an extended Cartan theory. |
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Keywords: | |
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