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We study the stability of vortices in trapped single-component Bose-Einsteincondensates within self-consistent mean-field theories--especially we considerthe Hartree-Fock-Bogoliubov-Popov theory and its recently proposed gaplessextensions. It is shown that for sufficiently repulsively interacting systemsthe anomalous negative-energy modes related to vortex instabilities are liftedto positive energies due to partial filling of the vortex core withnoncondensed gas. Such a behavior implies that within these theories the vortexstates are eventually stable against transfer of condensate matter to theanomalous core modes. This self-stabilization of vortices, shown to occur undervery general circumstances, is contrasted to the predictions of thenon-self-consistent Bogoliubov approximation, which is known to exhibitanomalous modes for all vortex configurations and thus implying instability ofthese states. In addition, the shortcomings of these approximations indescribing the properties of vortices are analysed, and the need of aself-consistent theory taking properly into account the coupled dynamics of thecondensate and the noncondensate atoms is emphasized.Comment: 8 page

Effect of the thermal gas component on the stability of vortices in trapped Bose Einstein condensates