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On the Detection of Scalar Field Induced Spacetime Torsion

T. Dereli·R. W. Tucker
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Abstract

We argue that the geodesic hypothesis based on the autoparalllels of the Levi-Civita connection may need refinement in the scalar- tensor theories of gravity. Based on a reformulation of the Brans- Dicke theory in terms of a connection with torsion determined dynamically in terms of the gradient of the Brans-Dicke scalar field, we compute the perihelion shift in the orbit of Mercury on the alternative hypothesis that its worldline is an autoparallel of a connection with torsion. If the Brans-Dicke scalar field couples significantly to matter and test particles move on such worldlines, the current time keeping methods based on the conventional geodesic hypothesis may need refinement.

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T. Dereli, R. W. Tucker. 2001-04-17. On the Detection of Scalar Field Induced Spacetime Torsion. https://doi.org/10.1142/s021773230200662x

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