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How can the general theory of relativity by Einstein prove the existence of black holes and vice-versa?

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How can the general theory of relativity by Einstein prove the existence of black holes and vice-versa?

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Well, it does not prove the existence of black holes. The equations are mathematical expressions which include the effect of gravity on matter including light (photons). What happens is when gravity reaches a certain strength then the equations reach a singularity. It is sort of like division by zero. But in nature we know that there is no such thing as infinity. In nature, things like infinity do not really exist so what that means is that the equations which are meant to be an approximation of the behavior of nature break down. But what it means is that something strange probably happens near the points where the equations behave in an extreme way. A hypothetical black hole represents the extreme point in the equations. We know something strange must happen in this area when the mass of something becomes so great. But you have to be careful. Equations are simply approximations and simulations to the behavior of nature. They do not prove anything other than offer a mathematical model.

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GR does NOT prove Black Holes, it predicts Black Holes. Observation of universe has yielded very strong evidence of what must be Black Holes. If a Scientific theory predicts something and later we find the thing predicted, that is good evidence that the theory is correct. Read: “If we cannot see them, how do we know they are there?” at the site below. http://imagine.gsfc.nasa.gov/docs/scienc… The rigor of a science is directly proportional to its ability to predict – John C. Campbell Einstein was uncomfortable with the idea of Black Holes and thought they might be an ananomaly in his math. But, everything else worked, so he had no choice but to leave them in. Years later, turns out the calculations match what we see in the universe.

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