Larger black holes exhibit lower density compared to smaller ones due to the relationship between mass and volume within the event horizon. The density of a black hole is calculated as its mass divided by the volume enclosed by the event horizon. As the mass of a black hole increases, the volume increases at a greater rate, leading to a decrease in density. This phenomenon occurs because the event horizon's surface area expands proportionately with mass, allowing for more empty space to be enclosed.
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As I said in the previous post the "size of a black hole" is generally taken to be the diameter of its event horizon. The actual geometry of the black hole is pretty involved - but as a simplification, imagine that all of the mass of the black hole is concentrated in a singularity, a point, at the center. The size of the event horizon is the sphere around that point where light cannot escape. If you double the mass at the center, the distance to the event horizon increases so the total volume of the black hole increases. That total volume will more than double. So, heavier black holes are less dense because they can enclose more empty space.Hoophy said:I heard that a black hole can have a extremely low density. Also I heard that the bigger the black hole the lower the density. This does not make much sense to me, is it true? And if so can someone explain why?