Abstract

We assume that the galactic dark matter halo, considered composed ofan axionlike particles Bose-Einstein condensate [1], canpresent topological defects, namely domain walls, arising asthe dark soliton solution for the Gross-Pitaevskii equation in aself-graviting potential. We investigate the influence that suchsubstructures would have in the gravitational interactions within agalaxy. We find that, for the simple domain wall model proposed, theeffects are too small to be identified, either by means of a localmeasurement of the gradient of the gravitational field or by analysinggalaxy rotation curves. In the first case, the gradient of thegravitational field in the vicinity of the domain wall would be10−31 (m/s2)/m. In the second case, the ratio of thetangential velocity correction of a star due to the presence of thedomain wall to the velocity in the spherical symmetric case would be10−8.

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