Self-gravitating vector dark matter

We derive the non-relativistic limit of a massive vector field. show that Cartesian spatial components behave as three identical, non-interacting scalar fields. find classes spherical, cylindrical, and planar self-gravitating solitons in Newtonian limit. The gravitational properties lowest-energy solitons$\mathrm{-}$the potential density field$\mathrm{-}$depend only on net mass soliton particle mass. In particular, these self-gravitating, ground-state are independent distribution energy across field components, indistinguishable from their scalar-field counterparts. Fuzzy Vector Dark Matter models can therefore give rise to halo cores with identical observational ones models. also provide novel hedgehog solutions, which cannot be observed theories. binding is about times weaker than soliton. Finally, we no spherically symmetric exist divergence-free