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arXiv · 1112.0162

Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type

W. Sarlet·G. Prince·T. Mestdag·O. Krupkova
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Abstract

We extend the results obtained in a previous paper about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explicit time-dependence. The main results are that a time-dependent alternative metric will have constant eigenvalues, and will give rise to a time-dependent coordinate transformation which partially decouples the system.

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W. Sarlet, G. Prince, T. Mestdag, O. Krupkova. 2011-12-01. Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type. https://doi.org/10.1088/1751-8113%2F45%2F8%2F085208

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