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Originally Posted by tommac
relative to us no stars have or ever will collapse beyond the EH.
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If you adopt a very strict sense of what a black hole is, then I will agree with you. In fact, the EH itself never actually forms, for a distant observer. However, the truth is that we don't really know exactly what black holes are. All we have are
models of black holes, and we know those models are probably imperfect, because we haven't yet succeeded in marrying quantum mechanics to general relativity.
A more pragmatic point of view is also possible, though:
if it walks like a duck, quacks like a duck, etc.... you might as well call it a duck.

Real world black holes may not be 100% exact incarnations of the Schwarzschild solution, or of the Kerr solution, but they should behave very similarly to those models (at least when you look at them from the outside).
Quote:
Originally Posted by tommac
I am proposing that they are the same.
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If you mean the singularity and the event horizon (in the Kerr or the Schwarzschild black hole models), then they are definitely not the same.
Quote:
Originally Posted by tommac
now what do you mean by radius ... radius of a sphere or circle?
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A sphere. The event horizon is spherical, as I noted previously.