Abstract
In this research the transverse hydrostatic stability of a gravitating Fermi-Dirac plasma under a quantizing field is explored. It is revealed that such plasma is magnetically unstable due to the Landau electron spin-orbit quantization in all magnetic levels which might explain the gravitational compactification in the case of magnetic compact-stars. It is also revealed that the Coulomb interaction plays a fundamental role in the magnetic instability when a critical field is reached for a given plasma composition. It is remarked that, the Coulomb interaction, on specific condition depending on the field-strength and plasma composition, can suddenly destroy the transverse stability of the relativistically degenerate Fermi-Dirac plasma. The consequences of such instability on mass-limit of magnetic compact-stars and the neutron star crust with possible relation to gamma-ray bursts is numerically examined.
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