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Dragged metrics

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 µelimination of the forces by a change of the metric of the substratum can be understood as a generalization of the d\rq Alembert principle applied to all relativistic processes.

Novello e E. Bittencourt, General Relativity and Gravitation 45 (2013) 1005-1019.

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