  We investigate spatiotemporal vortex rings with phase dislocation both in
space and time. It is demonstrated that these structures naturally appear as a
periodical in time edge phase dislocation at the low-density region of a
perturbed atomic Bose-Einstein condensate. The condition of formation, dynamics
and stability of the spatiotemporal vortex rings are investigated for repulsive
and attractive interatomic interactions. These theoretical findings open up a
perspective for experimental observation of novel type of topological coherent
structures in ultracold gases.
