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- W2078608137 abstract "In the unified theory of vierbein and electromagnetic fields proposed in a previous paper, the geometric structure with regard to affine connection of the bundle space is discussed. The most general affine connection Г̂ of the bundle space, which is a function of the fünfbein fields and of their first derivatives and is linear in the derivatives, is given. It is related to the affine connection of the space-time manifold and it is shown that metricity of the bundle space is equivalent to that of the space-time. The bundle space is of the Riemann-Cartan type in general, and it is torsion-free (curvature-free) if and only if the space-time is torsion-free (curvature-free). The interaction of the matter field Ψ on the bundle space with the fünfbein fields is fixed. Any Dirac field defined as a pullback of the spinor field on the bundle space is expected to have an electric dipole moment which depends on a parameter contained in the affine connection of the bundle space. The Lagrangian density of the fünfbein fields given in the previous paper is expressed in terms of the torsion and curvature tensors of the bundle space. Restrictions on the parameters are also given." @default.
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- W2078608137 date "1982-10-01" @default.
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- W2078608137 title "A Five Dimensional Unification of the Vierbein and Electromagnetic Fields. II: Geometric Structure with Regard to Affine Connection of the Bundle Space" @default.
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- W2078608137 doi "https://doi.org/10.1143/ptp.68.1365" @default.
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