A black hole has a high gravitational field and is formed due to its own strong gravity, which is defined by the Schwarzschild radius, $R = \frac {2GM}{c^2}$. However, it is not clear how much gravitational force is required to achieve this Schwarzschild radius. What would be the minimum required gravity for a black hole?
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$\begingroup$ Wouldn't the gravitational field be something like: $$ G\frac{M}{R^2} = G\frac{M}{ \left( \frac{2GM}{c^2} \right)^2} = \frac{c^4}{4GM}$$ ? $\endgroup$– robert bristow-johnsonCommented Mar 10, 2023 at 3:17
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$\begingroup$ @robertbristow-johnson That’s the Newtonian value at the black hole horizon. Note that this field can be arbitrarily small (since $M$ can be arbitrarily large). $\endgroup$– GhosterCommented Mar 10, 2023 at 7:19
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$\begingroup$ See if this answers your question: en.wikipedia.org/wiki/Chandrasekhar_limit $\endgroup$– safesphereCommented Mar 10, 2023 at 14:38
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$\begingroup$ It's why I said "something like". $\endgroup$– robert bristow-johnsonCommented Mar 10, 2023 at 15:52
1 Answer
there is no specific minimum gravitational force required to create a black hole. But I think that gravitational force also determines how much the object has to be compressed(if 2 object of same size has more gravitational force then we have to compress it a but not that much as compared to the object with higher gravitational force )
Theoretically every object can become a black hole as long as that object has a size smaller than it's Schwarzschild radius for example: I heard that in a National Geographic or Discovery documentry that to convert earth into a blackhole it has to be compressed to size of a tennis ball or something.
Here are the Schwarzschild radius of different objects
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1$\begingroup$ “I heard that in a National Geographic or Discovery documentry” - This site is for expert answers to science related questions, not for sharing personal opinions or experiences. $\endgroup$ Commented Mar 10, 2023 at 14:23
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$\begingroup$ @safesphere professionals cite their sources, no? $\endgroup$– JEBCommented Mar 10, 2023 at 14:26
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1$\begingroup$ @JEB Yes, I’ve seen it in a documentary on YouTube. $\endgroup$ Commented Mar 10, 2023 at 14:33
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$\begingroup$ @safesphere its not my personal opinion $\endgroup$– ShardulCommented Mar 10, 2023 at 15:19