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arXiv · 1104.3970

On the equation of motion for test particles in an ambient gravitational field as the Wong equation for a generalized gauge theory

S. Fabi·G. S. Karatheodoris
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Abstract

In this note we demonstrate the equation of motion for test particles in an ambient gravitational field for the teleparallel theory of gravity, considered as a generalized gauge theory, using a computational scheme due to Feynman. It can be thought of as the Wong equation for a generalized gauge theory. The Wong and Lorentz equations become identical when the generators of a generalized non-abelian gauge theory are taken to be the local translation generators.

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S. Fabi, G. S. Karatheodoris. 2011-04-20. On the equation of motion for test particles in an ambient gravitational field as the Wong equation for a generalized gauge theory. https://arxiv.org/abs/1104.3970

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