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Non-rotating big stars can be subject to a gravitational collapse increasing their density. When the density is so high that the mass volume shrinks below the event horizon, a black hole is formed.
Is such an "initial" black hole already considered as a singularity, or are there further shrinking processes required in order to consider the black hole to be a singularity? Do the characteristic dynamics of black holes include further shrinking processes until the mass is reduced to a point (or nearly)?