If we define the density of a black hole to be it's mass divided by the volume within it's event horizon then as the mass of a black hole increases it's density decreases. At some point the density would be equal to the ambient mass density of the universe. Can we correctly consider ourselves to be in such a black hole? Or is there a balance point where gravitation is balanced by cosmological expansion that represents a theoretical upper limit to the size of a black hole?
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