On the equilibrium structures of self-gravitating masses of gas containing axisymmetric magnetic fields

Details On the equilibrium structures of self-gravitating masses of gas containing axisymmetric magnetic fields On the equilibrium structures of self-gravitating masses of gas containing axisymmetric magnetic fields

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.192..611l&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 192, Aug. 1980, p. 611-620.

Mathematics

Logic

2

Equilibrium Equations, Force-Free Magnetic Fields, Gravitational Fields, Interstellar Gas, Magnetic Field Configurations, Magnetostatic Fields, Equations Of State, Gas Pressure, Mass Distribution, Poisson Equation, Symmetry

Scientific paper

The general equations describing the equilibrium shapes of self-gravitating gas clouds containing axisymmetric magnetic fields are presented. The general equations admit of a large class of solutions. It is shown that if one additional (ad hoc) asumption is made that the mass be spherically symmetrically distributed, then the gas pressure and the boundary conditions are sufficiently constraining that the general topological structure of the solution is effectively determined. The further assumption of isothermal conditions for this case demands that all solutions possess force-free axisymmetric magnetic fields. It is also shown how the construction of aspherical (but axisymmetric) configurations can be achieved in some special cases, and it is demonstrated that the detailed form of the possible equilibrium shapes depends upon the arbitrary choice of the functional form of the variation of the gas pressure along the field lines.

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