Neil,
All of those "three horizons" are the same thing, the event horizon for a Schwarzschild black hole, which is basically the GR solution for a true uncharged, non-rotating, point mass that has been there for an infinite time. The singularity is the point mass, finite mass compressed to a point.
Once inside the horizon, *all paths* lead to the singularity. There are no slingshot manuevers or orbits inside. Everything goes right to the singularity, and time and space "end" right there for the object.
Rotating and charged black holes are different. The metric is different and things behave differently, but there is still an event horizon, a point of no return to the outside universe.
And this may all be academic anyway, if the ECO (Eternally Collapsing Object) theory is correct. This basically says "in the real world" a collapse to a singularity in its own frame is not possible in finite proper time. It is trying to collapse, but is limited by how fast it can "vent" radiation, which gets slower and slower the more it collapses.
And ECO would pretty much look and behave like a black hole for all practical purposes, although radiation could still escape and there would be no horizon.
-Richard
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