A Note on Magnetized and Self-Gravitating Dark Matter Halos with Bose-Einstein Condensation

Abstract

In the present study, we assume a rotating, self-gravitating dark matter which is magnetized under the influence of Bose-Einstein condensation. For the condensate dark matter halos, the non-relativistic Gross-Pitaevskii equation is used and for the hydrodynamical evolution, continuity and modified Euler equation are considered. The modified Maxwell equation is also considered to show the influences of the magnetic field and finite electrical resistivity. We determine the dispersion relation and the Jeans wave number by assuming slight perturbations of the quantum hydrodynamical equations. From the findings, we found that the Jeans wave number depends on quantum potential and rotation. In the absence of resistivity, we observe that the Jeans wave number modifies due to the magnetic field also.