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arXiv · 2206.09650

A variational setting for an indefinite Lagrangian with an affine Noether charge

Erasmo Caponio·Dario Corona
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Abstract

We introduce a variational setting for the action functional of an autonomous and indefinite Lagrangian on a finite dimensional manifold. Our basic assumption is the existence of an infinitesimal symmetry whose Noether charge is the sum of a one-form and a function. Our setting includes different types of Lorentz-Finsler Lagrangians admitting a timelike Killing vector field.

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Erasmo Caponio, Dario Corona. 2022-06-20. A variational setting for an indefinite Lagrangian with an affine Noether charge. https://doi.org/10.1007/s00526-022-02379-1

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