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Five-dimensional unified field theory: The source function

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Abstract

In Kaluza's five-dimensional unified field theory the restriction for the 55 component of the metric tensor γ55=1 demands that the 15 equations for the unified field be weakened. Equations which have been proposed have identically vanishing trace. The equations then admit only a radiation field as source of the gravitational field. By relaxing the condition, this limitation is avoided, while retaining the striking successes of the five-dimensional approach. A scalar function, determined by the 15th field equation apart from integration constants, provides source terms for both the gravitational and electromagnetic fields, in the latter case of polarization type.

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  1. Physics Department, University of Manchester Institute of Science and Technology, Manchester, England

    P. F. Browne

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  1. P. F. Browne
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Browne, P.F. Five-dimensional unified field theory: The source function. Found Phys 5, 387–398 (1975). https://doi.org/10.1007/BF00708885

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  • DOI: https://doi.org/10.1007/BF00708885

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