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

Published online by Cambridge University Press:  10 May 2011

P. K. SHUKLA
Affiliation:
International Centre for Advanced Studies in Physical Sciences, Institute for Theoretical Physics, Faculty of Physics and Astronomy, Ruhr University Bochum, 44780 Bochum, Germany (ps@tp4.ruhr-uni-bochum.de)
D. A. MENDIS
Affiliation:
Jacobs School of Engineering, University of California, San Diego, La Jolla, CA 92093, USA
S. I. KRASHENINNIKOV
Affiliation:
Jacobs School of Engineering, University of California, San Diego, La Jolla, CA 92093, USA
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Abstract

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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.

Type
Letter
Copyright
Copyright © Cambridge University Press 2011.

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