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 |
|
|