On the Detection of Scalar Field Induced Spacetime Torsion

Details On the Detection of Scalar Field Induced Spacetime Torsion On the Detection of Scalar Field Induced Spacetime Torsion

2001-04-17

arxiv.org/abs/gr-qc/0104050v1

Mod.Phys.Lett. A17 (2002) 421-428

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages REVTEX file. 1 figure

Scientific paper

10.1142/S021773230200662X

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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