Self-similar magnetohydrodynamics. V - Gravitating spheres and spheroids

Details Self-similar magnetohydrodynamics. V - Gravitating spheres and spheroids Self-similar magnetohydrodynamics. V - Gravitating spheres and spheroids

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...390..567l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 390, no. 2, May 10, 1992, p. 567-572.

Astronomy and Astrophysics

Astrophysics

5

Magnetic Stars, Magnetohydrodynamic Flow, Magnetohydrodynamics, Stellar Gravitation, Hydrodynamic Equations, Polytropic Processes, Spheres, Spheroids, Time Dependence

Scientific paper

This paper presents a family of explicit, time-dependent magnetohydrodynamic solutions describing gravitating, magnetized, gamma = 4/3 polytropes in the shape of a spheroid undergoing self-similar expansion or contraction in vacuum. Included in this family are the solutions for a gravitating, magnetized sphere, which are mathematically akin to Prendergast's (1956) equilibrium solutions for a static magnetic star. The solutions presented here are of basic physical interest and may be useful for the testing of multidimensional, numerical magnetohydrodynamic codes which include self-gravity as an important effect.

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