TY - JOUR T1 - Relativistic expansion of a magnetized fluid Y1 - 2010 A1 - Gourgouliatos, K. N. A1 - Vlahakis, N. KW - Astrophysics - High Energy Astrophysical Phenomena KW - Physics - Plasma Physics AB - 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. VL - 104 SN - 0309-1929 UR - https://ui.adsabs.harvard.edu/abs/2010GApFD.104..431G JO - Geophysical and Astrophysical Fluid Dynamics ER -