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

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Anonymous 0 Comments

The youtube channel “Veritasium” recently made an excellent video where he among other things explains this feature of special and general relativity.
In very rough terms, what they founf is that at a certain limit, the bending of spacetime from an incredibly dense mass, would essentially cause any spacial direction to lead to a point in time rather than a point in space, which is exceedingly difficult to think about, but it has to do with space-time diagrams, and the properties of them. I really recommend Veritasiums (https://youtu.be/6akmv1bsz1M?si=CPXZ_skU4tn3EjHy) on the subject.

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