Why Are Black Holes Considered Bottomless Pits in Space-Time?

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Black holes are often described as bottomless pits in space-time due to the singularity at their core, which is theorized to possess infinite density. The escape velocity of a black hole exceeds the speed of light, preventing anything from escaping its gravitational pull. However, some argue that a black hole does not need to have infinite density if it is large enough in volume, suggesting that density could be finite. The discussion highlights the complexity of defining density in the context of black holes, particularly regarding the singularity. Ultimately, the nature of black holes and their singularities remains a topic of ongoing debate in astrophysics.
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Why is it said that a black hole is a literally bottemless pit in space-time? If it weren't bottemless, then the singularity inside would not have to be of infinite density.

I'm not sure if I have missed anything important, so PLEASE help!
 
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Yes, but a black hole is, by definition, of infinite density.\\


Well, the way you are putting it, that's true. In general, a black hole only has to be massive enough that light cannot escape it. (It's "escape velocity" is greater than the speed of light.)

A large (in volume) black hole would not have to have infinite density and would not be "a literally bottemless pit in space-time".
 
What do you mean by "density" ?
Huh ?
mass/volume ?
mass=finite
volume<>0...(the radius of the horizon is not 0...)
so density is not infinite...or am I wrong ?
 
I think he was talking about the singularity's density.
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
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