Gravitating configurations with magnetic field. II. Reimann's theorem and rigid-body rotation

Kravtsov, O. V.; Kopychko, S. N.

doi:10.1007/bf01004220

Cited by 1 publication

(1 citation statement)

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“…Kravtsov and his collaborators presented an extension of the classical problem of ellipsoidal figures to a case with magnetic field not being confined inside it (Kravtsov 1986; Kravtsov & Kopychko 1989; Kravtsov & Koval 1989). They formulated a problem of magnetized ellipsoidal figures of incompressible fluid with self‐gravity, and obtained sequences generalizing the classical ones of equilibrium when the vorticity and the electric current are parallel to each other.…”

Section: Introductionmentioning

confidence: 99%

New exact solutions of magnetic ellipsoidal figures of equilibrium

Kawamura

Taniguchi

Yoshida

et al. 2011

Monthly Notices of the Royal Astronomical Society: Letters

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In this Letter we report brand new analytic stationary solutions of constant density stars with magnetic field and self-gravity. These solutions include prolate configurations even for purely poloidal magnetic fields as well as oblate configurations. These new analytic solutions are expressed in very simple forms and can be considered as generalized configurations of uniformly rotating constant density spheroids, i.e. Maclaurin spheroids, and of constant density ellipsoids with constant vorticity, i.e. Dedekind ellipsoids. As the axisymmetric Maclaurin spheroids and the triaxial Dedekind ellipsoids have been widely used for the estimation of the effect of rotations and/or internal motions on the self-gravitating bodies, our new analytic solutions may be used widely to estimate the effect of the magnetic fields semi-quantitatively in various contexts hereafter.

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Section: Introductionmentioning

confidence: 99%