Abstract
We develop a method for applying the general theory of the force-free electromagnetic field given in the preceding paper to configurations with some symmetry. The electromagnetic field configuration invariant under the action generated by one Killing vector and the configuration invariant under the action generated by two Killing vectors are studied. The Euler potentials have specific forms when the electromagnetic field has symmetry. General forms of the Euler potentials in these two cases are determined by the symmetry assumed. As an example of the configuration with one invariant direction, the time-dependent axisymmetric configuration is studied. The example of the configuration with two invariant directions is the stationary and axisymmetric configuration. The relation between the present theory and the traditional way to treat the stationary and axisymmetric configuration is clarified. Lastly, using Noether's identities, we clarify the relation between the geometrical properties of the conserved fluxes and the symmetry of the configuration.
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