How did Einstein “see” in his equations that black holes should exist before they were observed?

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I have some knowledge of calculus and differential equations, but what is it about his equations that jumped out? How did he see his equations and decide that this was a legitimate prediction rather than just some constructed “mathy” noise?

In: Mathematics

6 Answers

Anonymous 0 Comments

He didn’t.

Others (like Karl Schwarzschild) took Einstein’s theory of general relativity and its equations and realised there’s a solution that involves infinite deformation of space time, in particular if you put a lot of mass concentrated in a small volume, you get a region of space time where even light cannot escape.

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