Relativistically expanding cylindrical electromagnetic fields
K.N. Gourgouliatos, (Institute of Astronomy, University of Cambridge)
TL;DR
This paper investigates relativistically expanding cylindrical electromagnetic fields, deriving analytical solutions for force-free magnetic configurations that expand radially with velocity proportional to the inverse of time.
Contribution
It presents new analytical and semi-analytical solutions for force-free electromagnetic fields in a relativistic cylindrical expansion, extending static models to relativistic regimes.
Findings
Derived separable solutions for relativistic cylindrical fields
Found mathematical similarity to static systems in the non-relativistic limit
Characterized the velocity profile as proportional to 1/(ct)
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 . 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.
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