  The nature of dark matter (DM) is one of the most fascinating unresolved
challenges of modern physics. One of the perspective hypotheses suggests that
DM consists of ultralight bosonic particles in the state of Bose-Einstein
condensate (BEC). The superfluid nature of BEC must dramatically affect the
properties of DM matter including quantization of the angular momentum. Angular
momentum quantum in the form of a vortex line is expected to produce a
considerable impact on the luminous matter in galaxies including density
distribution and rotation curves. We investigate the evolution of spinning DM
cloud with typical galactic halo mass and radius. Analytically and numerically
stationary vortex soliton states with different topological charges have been
analyzed. It has been shown that while all multi-charged vortex states are
unstable, a single-charged vortex soliton is extremely robust and survives
during the lifetime of the Universe.
