On the Motion of Matter in Spacetime

Details On the Motion of Matter in Spacetime On the Motion of Matter in Spacetime

2001-07-05

arxiv.org/abs/gr-qc/0107017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages LATEX file, no figures

Scientific paper

We argue that the geodesic hypothesis based on auto-parallels of the Levi-Civita connection may need refinement in theories of gravity with additional scalar fields. This argument is illustrated with a re-formulation of the Brans-Dicke theory in terms of a spacetime connection with torsion determined dynamically in terms of the gradient of the Brans-Dicke scalar field. The perihelion shift in the orbit of Mercury is calculated on the alternative hypothesis that its world-line is an auto-parallel of such a connection. If scalar fields couple significantly to matter and spinless test particles move on such world-lines, current time keeping methods based on the conventional geodesic hypothesis may need refinement.

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