How did Einstein’s equations prove the existence of black holes?

Question

How did Einstein’s equations prove the existence of black holes?

In: 4

Answer 1

Einstein’s equations didn’t prove the existence of black holes. People solved Einstein’s equations with a solution that predicted black holes. Many decades later astronomers found evidence of objects out there that fit the expectations of what a black hole would be. And, so far all the evidence has held up for what we’ve observed and the predictions have been correct.