Question about gravitatinal singularities and Shwarzchilds Radius.

In summary, not all black holes have a singularity, but all black holes do violate the Pauli exclusion principle. The amount of force needed to compress matter to an infinite density and violate the principle would vary depending on the type of matter and its composition.
  • #1
zeromodz
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Every mass has a Shwarzchild's radius. Once the mass is compressed down to its Shwarzchild's radius, does it necessarily turn into a gravitational singularity, or does it just trap light from leaving?

In other words, do all black holes have a gravitational singularity? and do all black holes violate the pauli exclusion principle?

And what magnitudes of forces are needed to actually squeeze matter together to an infinite density violating the pauli exclusion principle?

Sorry for lots of questions, I am just dying to know.
 
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  • #2
No, not all masses that reach their Schwarzschild's radius necessarily turn into a gravitational singularity. Depending on the nature of the matter, and the amount of pressure on it, it may remain in a super-dense state without forming a singularity. However, when this happens, the matter will trap light from leaving, and the object will still be considered a black hole. In general, all black holes do have a gravitational singularity, as this is the defining characteristic of a black hole. However, there are cases where the matter is so dense that a singularity has not yet formed, but the object is still considered a black hole. The magnitude of forces needed to squeeze matter together to an infinite density and violate the Pauli exclusion principle would depend on the type of matter and its composition. Generally speaking, extremely large amounts of pressure and energy would be required in order to compress matter to such extreme densities.
 

1. What is a gravitational singularity?

A gravitational singularity is a point in space where the laws of physics break down, and the gravitational pull becomes infinitely strong. It is associated with black holes and is a region of infinite density and zero volume.

2. What is the Schwarzschild radius?

The Schwarzschild radius is the distance from the center of a black hole at which the escape velocity equals the speed of light. It is the point of no return, also known as the event horizon, where even light cannot escape the gravitational pull of the black hole.

3. How is the Schwarzschild radius related to the mass of a black hole?

The Schwarzschild radius is directly proportional to the mass of a black hole. The larger the mass of a black hole, the larger its Schwarzschild radius will be. This means that a black hole with a greater mass will have a stronger gravitational pull and a larger event horizon.

4. Can anything escape a black hole's Schwarzschild radius?

Once an object crosses the Schwarzschild radius of a black hole, it is impossible for it to escape. This is because the escape velocity at that point is equal to the speed of light, which is the fastest speed possible in the universe.

5. What happens at the center of a black hole?

At the center of a black hole lies the singularity, a point of infinite density and zero volume. It is a region where our current understanding of physics breaks down and the laws of nature as we know them do not apply. It is also believed that all the matter and energy that falls into the black hole is concentrated at the singularity.

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