The structure of relativistic MHD jets: a solution to the nonlinear Grad-Shafranov equation

Astronomy and Astrophysics – Astrophysics

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Scientific paper

An analytic model for a stationary force-free relativistic magnetized jet is presented. The asymptotic Grad-Schluter-Shafranov equation is solved for a nonlinear current distribution, covering both diffuse and sharp pinches. The jet structure is characterized by a current-carrying core and a current-free envelope. The core radius R_c_ is related to the poloidal jet velocity u_p_ and the light cylinder R_L_ by R_c_ = u_p_R_L_. The Poynting flux is concentrated at the core radius. The rest frame magnetic field in the core is essentially parallel to the axis, and toroidal in the envelope. Self-confinement and confinement by external pressure is considered. It is shown how the form and the strength of the current determine the shape and the profile of the jet. The propagation of a jet is treated as a sequence of quasi-equilibria along the jet's path. The jet is mostly confined by its current, only close to the nucleus pressure might be relevant.

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