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Relativistically expanding cylindrical electromagnetic fields
Authors:K N Gourgouliatos
Institution:Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Abstract:We study relativistically expanding electromagnetic fields of cylindrical geometry. The fields emerge from the side surface of a cylinder and are invariant under translations parallel to the axis of the cylinder. The expansion velocity is in the radial direction and is parametrized by   v = R /( ct )  . We consider force-free magnetic fields by setting the total force the electromagnetic field exerts on the charges and the currents equal to zero. Analytical and semi-analytical separable solutions are found for the relativistic problem. In the non-relativistic limit, the mathematical form of the equations is similar to equations that have already been studied in static systems of the same geometry.
Keywords:MHD  methods: analytical  stars: magnetic fields  stars: neutron  gamma-rays: bursts
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