One could also imagine systems in which the effective metric fails to exist on one side of the horizon (or even more
radically, on both sides). The existence of particle production in this kind of system will then depend on the specific
interactions between the sub-systems characterizing each side of the horizon. For example, in stationary configurations
it will be necessary that these interactions allow negative energy modes to dissappear beyond the horizon, propagating
forward in time (as happens in an ergoregion). Whether these systems will provide adequate analogue models of
Hawking radiation or not is an interesting question that deserve future analysis. Certainly systems of this type lie well
outside the class of usual analogue models.