Journal Article

Relativistically expanding cylindrical electromagnetic fields

K. N. Gourgouliatos

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 396, issue 4, pages 2399-2404
Published in print July 2009 | ISSN: 0035-8711
Published online July 2009 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2009.14911.x
Relativistically expanding cylindrical electromagnetic fields

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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

Journal Article.  4197 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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