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Wave propagation in the magnetized cores of white dwarf stars with ultra-relativistic degenerate electrons

  • P. K. SHUKLA (a1), D. A. MENDIS (a2) and S. I. KRASHENINNIKOV (a2)

Abstract

We discuss the dispersive properties of low-frequency electromagnetic (EM) perturbations in the magnetized core of self-gravitating white dwarf stars with ultra-relativistic degenerate electrons. For our purposes, we derive a dispersion relation by using the hydrodynamic equations for the ions under the action of EM and self-gravitating forces, and the inertialess electrons under the action of EM forces and the gradient of the ultra-relativistic pressure. The dispersion relation admits stability of a white dwarf star against a class of EM perturbations whose wavelengths are shorter than 15000 km.

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References

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Wave propagation in the magnetized cores of white dwarf stars with ultra-relativistic degenerate electrons

  • P. K. SHUKLA (a1), D. A. MENDIS (a2) and S. I. KRASHENINNIKOV (a2)

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