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The method of characteristics is used to study the structure of steady, relativistic jets containing a toroidal magnetic field component. We assume axisymmetry and perfect conductivity for the fluid flows. Oblique, relativistic, magnetic shocks are handled using a shock-fitting procedure. The effects of the magnetic field on the collimation and propagation of the jets are studied when the external medium has a constant or decreasing pressure distribution. Our parameter study is confined to underexpanded jet flows which have an ultrarelativistic equation of state and extremely super-magnetosonic bulk velocities. The magnetic energy density, however, may range from zero to extreme dominance. These simulations are therefore relevant to compact radio jet sources which exhibit superluminal motion.
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Dubal et al. (1993) studied this question.
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