Relativistic expansion of a magnetized fluid

Details Relativistic expansion of a magnetized fluid Relativistic expansion of a magnetized fluid

2010-01-23

arxiv.org/abs/1001.4209v1

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

17 pages, 6 figures, accepted by Geophysical and Astrophysical Fluid Dynamics

Scientific paper

10.1080/03091920903585894

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.

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