Asymptotically conical solution of magnetically driven relativistic winds

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Asymptotic Properties, Magnetic Field Configurations, Magnetohydrodynamic Flow, Magnetohydrodynamics, Magnetospheres, Plasma Jets, Relativity, Active Galactic Nuclei, Cold Plasmas, Crab Nebula, Pulsars, Quasars

Scientific paper

With regard to astrophysical jets or winds, we discuss the asymptotic structure of a plasma wind. By solving the special relativistic magnetohydrodynamic (MHD) equations for the trans-field force balance of a magnetosphere, we obtain an analytic self-consistent solution of the magnetospheric structure at the asymptotic region (sufficiently far from the light cylinder). A steady and axisymmetric magnetically driven wind is assumed in the limit of inviscid, pressure-free, and non-resistive plasmas. In this solution, all of the field lines are asymptotically conical, and the inclination angle of each field line from the equatorial plane is determined. The solution can explain both the thin-jet solution as in radio loud active galactic nuclei (AGN's) and the equatorial wind solution (disk-shaped wind) as in the Crab pulsar, depending on the parameters which denote the rotation of the magnetosphere, the terminal velocity of flow, and the strength of the magnetic field, respectively.

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