Black Size
Is there a theoretical limit to the size of a Black Hole?
Just suppose the entire universe could fall into a Black hole would that mean a Black Hole of infinite size?
A black hole can be defined as matter, the mass of which lies within the Schwarzschild radius of that mass. The volume increases as the cube of the radius (double the radius is eight times the volume). This means that as the mass is proportional to the radius, the required density of the matter is lowered as the amount of matter rises.
The Schwarzschild radius can be as small or as big as you like, so long as there is enough mass within it. That means you can have black holes from smaller than the size of an atomic nucleus, right up to the size of the universe. If you look at how the density of the object changes with radius, you find the density goes down as the radius goes up. So by the time you get to a supermassive black hole the size of a solar system, its density is comparable to water. When you get up to the scale of the known universe then the theoretical Schwarzschild radius is actually larger than the universe.
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