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January 23, 2010 21:59 Geophysical and Astrophysical Fluid Dynamics paper1 Geophysical and Astrophysical Fluid Dynamics Vol.-, No.-, Month-, 1–18 Relativistic expansion of a magnetized fluid

By K. N. Gourgouliatos and N. Vlahakis


We study semi-analytical time-dependent solutions of the relativistic magnetohydrodynamic (MHD) equations for the fields and the fluid emerging from a spherical source. We assume uniform expansion of the field and the fluid and a polytropic relation between the density and the pressure of the fluid. The expansion velocity is small near the base but approaches the speed of light at the light sphere where the flux terminates. We find self-consistent solutions for the density and the magnetic flux. The details of the solution depend on the ratio of the toroidal and the poloidal magnetic field, the ratio of the energy carried by the fluid and the electromagnetic field and the maximum velocity it reaches

Topics: MHD – methods, analytical – stars, magnetic fields
Year: 2016
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