Set v = c to obtain Schwarzchild radius. https://en.wikipedia.org/wiki/Schwarzschild_radius …
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well for one there's no reason newton's laws should be able to say anything about strong gravitational fields and be correct
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The gravitational field at the event horizon is not necessarily strong. Solve the problem for an extremely large black hole and then use analytic continuation.
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you can't get GR from analytic continuation of newtonian mechanics
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that's what we mean by coincidence .. you can't expect that what you plug into Newton's laws will agree with GR
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