2009/04/14 by Konstantinos N. Gourgouliatos, K. N. Gourgouliatos
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics and Cosmic Phenomena #Classical mechanics #Cylinder #Electromagnetic field #Geometry #Invariant (physics) #Limit (mathematics) #Magnetic field #Mathematical analysis #Mathematical physics #Mechanics #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Separable space #astro-ph.HE
paper · pdf · doi:10.1111/j.1365-2966.2009.14911.x
7 pages, 4 figures, accepted by MNRAS
arxiv created 2009/04/14 · openalex publication_date 2009/06/02 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.