Least action principle for Lorentz force in dilaton-Maxwell electrodynamics

I. P. Denisova; O. V. Kechkin

doi:10.1134/s1547477118050059

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arXiv · 1705.03362

Least action principle for Lorentz force in dilaton-Maxwell electrodynamics

I. P. Denisova·O. V. Kechkin

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Abstract

The least action principle is established for the dynamics of a test particle in a dilaton-Maxwell background. These dynamics and background are invariant under the action of the dilatation transformation; explicit form of the corresponding generalization of the Lorentz force is established for the considered model. On a stationary background, we have found the integral of motion of the energy type. This integral is used to resolve the radial dynamics of test particles in a spherically symmetric electrostatic background.

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I. P. Denisova, O. V. Kechkin. 2017-05-07. Least action principle for Lorentz force in dilaton-Maxwell electrodynamics. https://doi.org/10.1134/s1547477118050059

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