Dragged Metrics

M. Novello; E. Bittencourt

doi:10.1007/s10714-013-1507-z

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arXiv · 1201.2806

Dragged Metrics

M. Novello·E. Bittencourt

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Abstract

We show that the path of any accelerated body in an arbitrary space-time geometry $g_{\mu\nu}$ can be described as geodesics in a dragged metric $\hat{q}_{\mu\nu}$ that depends only on the background metric and on the motion of the body. Such procedure allows the interpretation of all kind of non-gravitational forces as modifications of the metric of space-time. This method of effective elimination of the forces by a change of the metric of the substratum can be understood as a generalization of the d'Alembert principle applied to all relativistic processes.

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M. Novello, E. Bittencourt. 2012-01-13. Dragged Metrics. https://doi.org/10.1007/s10714-013-1507-z

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