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arXiv · 1305.0592

Magnetohydrodynamic equilibria in barotropic stars

Cristobal Armaza·Andreas Reisenegger·Juan Alejandro Valdivia·Pablo Marchant
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Abstract

Although barotropic matter does not constitute a realistic model for magnetic stars, it would be interesting to confirm a recent conjecture that states that magnetized stars with a barotropic equation of state would be dynamically unstable (Reisenegger 2009). In this work we construct a set of barotropic equilibria, which can eventually be tested using a stability criterion. A general description of the ideal MHD equations governing these equilibria is summarized, allowing for both poloidal and toroidal magnetic field components. A new finite-difference numerical code is developed in order to solve the so-called Grad-Shafranov equation describing the equilibrium of these configurations, and some properties of the equilibria obtained are briefly discussed.

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Cristobal Armaza, Andreas Reisenegger, Juan Alejandro Valdivia, Pablo Marchant. 2013-05-02. Magnetohydrodynamic equilibria in barotropic stars. https://doi.org/10.1017/s1743921314002646

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