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Torsion vector and variableG

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Abstract

In the Einstein-Cartan theory coupled to a classical spin fluid only the traceless part of the torsion field can be related to spin. Here the theory is generalized by allowing intrinsic dilation currents which couple algebraically to the torsion trace. The intrinsic dilation current is interpreted as the relative change of intrinsic length scales relative to the gravitational length scale. By a dilation current conservation law, one finds the scale function between the atomic length scales and the gravitational length scales. This is in effect a dynamic unification of the atomic and gravitational units of measurement. The theory is applied to the Friedmann-Robertson-Walker cosmology, and physical effects in the solar system are considered.

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  1. Institute of Physics, University of Oslo, Blindem, P.O. Box 1048, N-0316, Oslo 3, Norway

    Harald H. Soleng

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Soleng, H.H. Torsion vector and variableG . Gen Relat Gravit 23, 1089–1112 (1991). https://doi.org/10.1007/BF00757013

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