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arXiv · 1712.01392

Alternative Lagrangians obtained by scalar deformations

Oana A. Constantinescu·Ebtsam H. Taha
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Abstract

We study non-conservative like SODEs admitting explicit Lagrangian descriptions. Such systems are equivalent to the system of Lagrange equations of some Lagrangian $L$, including a covariant force field which represents non-conservative forces. We find necessary and sufficient conditions for the existence of a differentiable function $Φ:\mathbb{R}\rightarrow\mathbb{R}$ such that the initial system is equivalent to the system of Euler-Lagrange equations of the deformed Lagrangian $Φ(L)$. We give various examples of such deformations.

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Oana A. Constantinescu, Ebtsam H. Taha. 2019-02-18. Alternative Lagrangians obtained by scalar deformations. https://doi.org/10.1142/s0219887820500504

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