Equilibrium of self-gravitating polytropic cylinders with a magnetic field |
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Authors: | N K Sood |
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Institution: | (1) Dept of Physics, G.N.D. University, Amritsar, India |
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Abstract: | The effect of a prevalent magnetic field on static and uniformly rotating self-gravitating cylinders of infinite length is examined. The magnetic field is assumed to consist ofH
andH
z
components, which are taken to be functions of the radial coordinate alone. A variety of magnetic-field configurations are shown to be admissible solutions of equations of motion, from which some feasible cases are presented. A particular magnetic-field configuration having bothH
andH
z
components is studied in detail. The configuration is such that the assumption of a polytropic equation of state reduces the equation governing the density function to a non-homogeneous cylindrical analogue of the Lane-Emden equation for spherical polytropes. The homogeneous case is also studied and shows interesting magnetic-field patterns. |
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Keywords: | |
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