Dragged Metrics

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.

References in corpus (2)

• Geometrical aspects of light propagation in nonlinear electrodynamics
• Beyond Analog Gravity: The Case of Exceptional Dynamics

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