Relativistic expansion of a magnetized fluid
arXiv:1001.4209 · doi:10.1080/03091920903585894
Abstract
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.
17 pages, 6 figures, accepted by Geophysical and Astrophysical Fluid Dynamics
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- Coronal mass ejections as expanding force-free structures
- Relativistic magnetic explosions
- Dynamics of rising magnetized cavities and UHECR acceleration in clusters of galaxies
- Relativistic Expansion of Magnetic Loops at the Self-similar Stage II: Magnetized outflows interacting with the ambient plasma
- Radio afterglow of magnetars' giant flares
- Corotating light cylinders and Alfvén waves
- Plasma Pressure Driven Asymmetric Supernovae and Highly Collimated Gamma-Ray Bursts
- Logarithmic Separable Solutions of Force-Free Magnetic Fields in Plane-Parallel and Axial Symmetry