
TL;DR
The paper demonstrates that any accelerated motion in a general space-time can be viewed as geodesic motion in a modified metric, effectively turning non-gravitational forces into geometric effects.
Contribution
It introduces a method to represent all non-gravitational forces as modifications of the space-time metric, generalizing the d'Alembert principle to relativistic contexts.
Findings
Any accelerated path can be described as a geodesic in a dragged metric.
Non-gravitational forces can be interpreted as metric modifications.
The approach generalizes classical principles to relativistic space-time.
Abstract
We show that the path of any accelerated body in an arbitrary space-time geometry can be described as geodesics in a dragged metric 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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