Gravitational Lorentz Force and the Description of the Gravitational Interaction

Details Gravitational Lorentz Force and the Description of the Gravitational Interaction Gravitational Lorentz Force and the Description of the Gravitational Interaction

1997-03-21

arxiv.org/abs/gr-qc/9703059v2

Phys.Rev.D56:4689-4695,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Equations (44)-(47) corrected

Scientific paper

10.1103/PhysRevD.56.4689

In the context of a gauge theory for the translation group, we have obtained, for a spinless particle, a gravitational analog of the Lorentz force. Then, we have shown that this force equation can be rewritten in terms of magnitudes related to either the teleparallel or the riemannian structures induced in spacetime by the presence of the gravitational field. In the first case, it gives a force equation, with torsion playing the role of force. In the second, it gives the usual geodesic equation of General Relativity. The main conclusion is that scalar matter is able to feel anyone of the above spacetime geometries, the teleparallel and the metric ones. Furthermore, both descriptions are found to be completely equivalent in the sense that they give the same physical trajectory for a spinless particle in a gravitational field.

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