Paper detail

Orbital Ferromagnetism and the Chandrasekhar Mass-Limit

In this paper, using both quantum magnetohydrodynamic (MHD) and magnetohydrostatic (MHS) models of a relativistically degenerate magnetic compact star, the fundamental role of Landau orbital ferromagnetism (LOFER) on the magneto-gravitational stability of such star is revealed. It is shown that the previously suggested magnetic equation of state for LOFER with some generalization of form $B=βρ^{2s/3}$ only within the range $0\leq s\leq 1$ and $0\leq β< \sqrt{2π}$ leads to magneto-gravitational stability with distinct critical value $β_{cr}=\sqrt{2π}$ governing the magnetohydrostatic stability of the compact star. Furthermore, the value of the parameters $s$ and $β$ is shown to fundamentally control both the quantum and Chandrasekhar gravitational collapse mechanisms and the previously discovered mass-limit on white dwarfs. Current findings can help to understand the origin of magnetism and its inevitable role on the stability of the relativistically degenerate super-dense magnetized matter encountered in many white-dwarfs and neutron stars.