Gravitational lensing due to dark matter modelled by vector field

Abstract

The specified constant 4-vector field reproducing the spherically symmetric stationary metric of cold dark matter halo in the region of flat rotation curves results in a constant angle of light deflection at small impact distances. The effective deflecting mass is factor $\pi/2$ greater than the dark matter mass. The perturbation of deflection picture due to the halo edge is evaluated.Comment: 17 pages, LaTeX iopart class, 10 eps figures; explanaitions and discussion are extended and improved, reference added; version to appear in Classical and Quantum Gravit