Hall equilibria and stability of magnetic field structure in neutron star crusts

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We consider the Hall dynamics of the magnetic fields in the electron plasma of solid neutron star crusts. Stationary configurations satisfy a Grad-Shafranov type equation for magnetic flux surfaces, where the poloidal electrical current is a function of magnetic flux. The non-vanishing Lorentz force is balanced by gravity, pressure and tensile stresses. We present the general separable solution for the linear approximation. We investigate their stability and we find that although purely poloidal magnetic field configuration is stable to internal modes it is not if the perturbation does not vanish on the boundaries and energy is exchanged between the crust a nd the magnetosphere.

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