If the sun becomes a black hole will its schwarzschild radius change?

In summary, the Schwarzschild radius is a calculated radius at which the event horizon would form if matter were compressed to within that radius. This radius remains the same for a black hole regardless of its mass. The Sun, however, does not have a Schwarzschild radius as it is not a black hole. Instead, it will eventually end its life as a white dwarf star, which will be much denser than the earth due to its large mass being compacted into a smaller body.
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avito009
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I know that the schwarzschild radius is proportional to the mass. But in case of black holes the mass remains the same only the size and density changes. So does the schwarzschild radius stay same when it is the sun and when it becomes a black hole?
 
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The Schwarzschild radius is not a physical radius, it's a calculated radius at which the event horizon would form if matter would be compressed to within that radius. So there's 2 ways you can answer this question. 1) Yes, the Schwarzschild radius, since it's just a calculated number, remains the same between the Sun now and the Sun if it were a black hole since the mass of the Sun is all that is necessary to determine it. 2) The Sun has no Schwarzschild radius since it is NOT a black hole. There is no event horizon associated with the Sun.
 
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And in case you are still lying awake at night, worrying that the Sun might become a black hole, it is too small a star (It has insufficient mass) for that particular fate. After some spectacular end-of-life fireworks where it grows into a red giant, the sun will end its days as a white dwarf star, approximately the size of the earth. However, this white dwarf star will be much denser than the earth, since it will pack in much of the sun's mass into the smaller body.

http://en.wikipedia.org/wiki/Sun#After_core_hydrogen_exhaustion
 

1. How is the Schwarzschild radius of a black hole determined?

The Schwarzschild radius of a black hole is determined by its mass. It represents the distance from the center of the black hole at which the escape velocity is equal to the speed of light. This means that anything within the Schwarzschild radius, including light, will be unable to escape the gravitational pull of the black hole.

2. What is the Schwarzschild radius of the sun?

The Schwarzschild radius of the sun is approximately 3 kilometers per solar mass. This means that if the sun were to collapse into a black hole, it would have a Schwarzschild radius of about 3 kilometers.

3. Will the sun's Schwarzschild radius change if it becomes a black hole?

No, the sun's Schwarzschild radius will not change if it becomes a black hole. The Schwarzschild radius is determined solely by the mass of the object and not its physical properties, so even if the sun were to collapse into a black hole, its mass would remain the same and therefore the Schwarzschild radius would not change.

4. Can the sun become a black hole?

No, the sun cannot become a black hole. While it is possible for a star to collapse into a black hole, the sun does not have enough mass to do so. It would need to have a mass at least 3 times greater than its current mass for this to occur.

5. What would happen to Earth if the sun became a black hole?

If the sun were to become a black hole, Earth's orbit would not be affected. This is because the gravitational pull of the black hole would be the same as the sun's current gravitational pull, as the mass of the black hole would be the same as the sun's. However, the lack of light and heat from the sun would make it impossible for life to survive on Earth.

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