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Abstract: We study relativistically expanding electromagnetic fields of cylindricalgeometry. The fields emerge from the side surface of a cylinder and areinvariant under translations parallel to the axis of the cylinder. Theexpansion velocity is in the radial direction and is parametrized by$v=R-ct$. We consider force-free magnetic fields by setting the total forcethe electromagnetic field exerts on the charges and the currents equal to zero.Analytical and semi-analytical separable solutions are found for therelativistic problem. In the non-relativistic limit the mathematical form ofthe equations is similar to equations that have already been studied in staticsystems of the same geometry.



Author: K.N. Gourgouliatos, Institute of Astronomy, University of Cambridge

Source: https://arxiv.org/



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