The question of smoothness at the ergosurface of the space-time metric constructed out of solutions (\protect \relax E,\varphi ) of the Ernst electro-vacuum equations is considered. We prove smoothness of those ergosurfaces at which \Re \protect \relax E provides the dominant contribution to f=-(\Re \protect \relax E + |\varphi |2) at the zero-level-set of f. Some partial results are obtained in the remaining cases: in particular we give examples of leading-order solutions with singular isolated ``ergocircles''.
PACS numbers: 04.20.Cv, 04.20.Dw
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