Abstract
We introduce the concept of a conformal stationary limit surface as the boundary where a conformal Killing vector admitted by a spacetime becomes null. This hypersurface is an infinite frequency shift surface for conformal Killing observers and sources. We derive the local conditions under which it can be an event horizon in the sense that it be a null geodesic hypersurface. In particular, we show that it is null and geodesic if and only if the rotation of the conformal Killing congruence has a vanishing norm on this hypersurface. Finally, we discuss the surface gravity associated with such a conformal Killing horizon.
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