Relation between wave speeds in the crust of dense magnetic stars

Physics

Scientific paper

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Magnetic Stars, Magnetoelastic Waves, Propagation Velocity, Stellar Models, Relativity, Stellar Magnetic Fields

Scientific paper

The propagation of 'infinitesimal discontinuities' (wavefronts) through a magnetized elastic perfect conductor in an initial state of high hydrostatic pressure and in the presence of a magnetic field of arbitrary strength is investigated in the framework of relativistic magnetoelasticity. It is shown that universal relations, which do not depend on the exact equation of state of the body, hold between the speeds of 'fast' and 'slow' magnetoelastic modes and that these relations should be valid in the solid crust of dense magnetic stars. Expressions relating the speeds of 'fast' and 'slow' magnetoelastic modes are obtained for the cases of propagation along the magnetic field and in a direction orthogonal to the field.

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