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On the detection of scalar field induced space-time torsion

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Tucker, RW

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English

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Abstract

We argue that the geodesic hypothesis based on autoparallels 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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Modern Physics Letters A

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World Scientific Publishing Co Pte Ltd

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Astronomy, Astrophysics, Physics, Nuclear, Particles and fields, Mathematical

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