Equilibrium of self gravitating polytropic cylinders with a magnetic field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Fields, Magnetohydrodynamics, Polytropic Processes, Rotating Cylinders, Stellar Magnetic Fields, Hydrodynamic Equations, Magnetic Field Configurations, Scalars, Toroidal Plasmas

Scientific paper

The equations of hydromagnetics for a self-gravitating fluid of infinite conductivity are examined in the axisymmetric case in terms of toroidal and poloidal scalars. The stationary state with non-zero poloidal velocity scalar admits an analytical solution for polytropic cylinder of infinite length with a prevalent toroidal magnetic field. The case when the poloidal velocity scalar is zero is also considered.

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